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1import{r as s,j as e}from"./react-vendor-B-nG-n91.js";import{ae as t}from"./dev-tools-CbQrLbX5.js";import{ap as g}from"./learn-2jrixrKy.js";import"./i18n-vendor-BELwdrIW.js";import"./vendor-_0nFSv2q.js";import"./math-vendor-CPPWO9M1.js";import"./practice-Bye0gqyo.js";import"./services-DeZ8lH0Y.js";import"./firebase-vendor-yFiB1Gnx.js";import"./parent-DoZmHAM4.js";import"./progress-service-m_4Hqtk4.js";import"./math-tools-5Dq-1Ot4.js";import"./ai-vendor-d14BTaTQ.js";import"./onboarding-RUTOhh9A.js";const f={header:{title:"Operations on Real Numbers",subtitle:"Mastering fraction and decimal operations with confidence"},sectionA:{title:"A. Operations with Fractions",intro:"Review the four basic operations with fractions:",addSub:{title:"1. Addition & Subtraction",rule:"**Rule:** Find common denominator",exampleLabel:"Example: "},multiplication:{title:"2. Multiplication",rule:"**Rule:** Multiply across",exampleLabel:"Example: "},division:{title:"3. Division (Multiply by Reciprocal)",rule:"**Rule:** Flip the second fraction and multiply",exampleLabel:"Example: "},example1:{title:"Example 1: Adding Fractions with Unlike Denominators",calculate:"Calculate: ",solutionTitle:"**Solution:**",step1:"Step 1: Find LCD of 3 and 6 → LCD = 6",step2BeforeMath:"Step 2: Convert ",step2AfterMath:" to denominator 6: ",step3BeforeMath:"Step 3: Add: ",step4BeforeMath:"Step 4: Simplify: ",answerBeforeMath:"**Answer: **"},example2:{title:"Example 2: Dividing Fractions",calculate:"Calculate: ",solutionTitle:"**Solution:**",step1BeforeMath:"Step 1: Flip the second fraction (reciprocal): ",step1AfterMath:" becomes ",step2BeforeMath:"Step 2: Multiply: ",step3BeforeMath:"Step 3: Multiply numerators and denominators: ",step4BeforeMath:"Step 4: Simplify by dividing both by 3: ",answerBeforeMath:"**Answer: **"},practice1:{title:"Practice 1: Fraction Operations",calculate:"Calculate: ",show:"Show Solution",hide:"Hide Solution",solutionTitle:"**Solution:**",step1:"Multiply numerators and denominators:",step2:"Simplify by dividing both by 12:",answerBeforeMath:"**Answer: **"}},sectionB:{title:"B. Operations with Decimals",intro:"When working with decimals, proper alignment and place value understanding are crucial:",rulesTitle:"Decimal Operation Rules",addSubTitle:"Addition & Subtraction",addSubRule:"Line up decimal points vertically",multiplicationTitle:"Multiplication",multiplicationRule:"Multiply as whole numbers, then count total decimal places",multiplicationExampleLabel:"Example: ",multiplicationExampleAfter:" → 2 decimal places total → 0.36",divisionTitle:"Division",divisionRule:"Move decimal point in divisor to make it whole, move same in dividend",divisionExampleLabel:"Example: ",decimalAlignTop:"12.35",decimalAlignPlus:"+ 3.7",decimalAlignResult:"16.05",example3:{title:"Example 3: Adding Decimals",calculate:"Calculate: ",solutionTitle:"**Solution:**",step1:"Step 1: Line up decimal points",alignTop:"15.80",alignPlus:"+ 3.45",alignResult:"19.25",answer:"**Answer: 19.25**"},example4:{title:"Example 4: Multiplying Decimals",calculate:"Calculate: ",solutionTitle:"**Solution:**",step1BeforeMath:"Step 1: Multiply as whole numbers: ",step2:"Step 2: Count decimal places: 2.5 (1 place) + 1.2 (1 place) = 2 places total",step3:"Step 3: Place decimal: 300 → 3.00",answer:"**Answer: 3.0 (or 3)**"},practice2:{title:"Practice 2: Decimal Operations",calculate:"Calculate: ",show:"Show Solution",hide:"Hide Solution",solutionTitle:"**Solution:**",step1:"Move decimal in divisor (0.2) one place right to make it 2",step2:"Move decimal in dividend (8.4) one place right to get 84",step3BeforeMath:"Now divide: ",answer:"**Answer: 42**"}},sectionC:{title:"C. Converting Between Fractions and Decimals",fractionToDecimal:{title:"Fraction → Decimal",method:"**Method:** Divide numerator by denominator",exampleLabel:"Example: ",exampleDetailLabel:"Divide: "},decimalToFraction:{title:"Decimal → Fraction",method:"**Method:** Use place value, then simplify",exampleLabel:"Example: 0.6",exampleDetailBeforeMath:"",exampleDetailAfterMath:" (simplified)"},example5:{title:"Example 5: Mixed Operations (Fractions & Decimals)",calculate:"Calculate: ",method1Title:"**Solution Method 1 (Convert to decimals):**",method1Step1BeforeMath:"Convert fraction: ",method1Step2BeforeMath:"Add: ",method2Title:"**Solution Method 2 (Convert to fractions):**",method2Step1BeforeMath:"Convert decimal
1: ",method2Step2BeforeMath:"Add: ",answerBeforeMath:"**Answer: 0.75 or **",answerAfterMath:""},conversionTips:{title:"**Conversion Tips:**",commonFractionsLabel:"Common fractions to memorize: ",items:["For recurring decimals: Use algebra or standard conversion methods","When adding/subtracting mixed forms, convert to one type first","Choose the form that makes the calculation easier"]},practice3:{title:"Practice 3: Conversion",promptBeforeMath:"Convert ",promptAfterMath:" to a decimal",show:"Show Solution",hide:"Hide Solution",solutionTitle:"**Solution:**",step1BeforeMath:"Divide numerator by denominator: ",step2BeforeMath:"",answer:"**Answer: 0.875**"},practice4:{title:"Practice 4: Mixed Calculation",calculate:"Calculate: ",show:"Show Solution",hide:"Hide Solution",solutionTitle:"**Solution:**",step1BeforeMath:"Convert 0.5 to fraction: ",step2BeforeMath:"Multiply: ",step3BeforeMath:"Or as decimal: ",answerBeforeMath:"**Answer: **",answerAfterMath:" or 0.2"},practice5:{title:"Practice 5: Real-World Problem",promptBeforeMath:"A recipe calls for ",promptAfterMath:" cup of sugar. If you want to make 1.5 times the recipe, how much sugar do you need?",show:"Show Solution",hide:"Hide Solution",solutionTitle:"**Solution:**",step1BeforeMath:"Multiply: ",step2BeforeMath:"Convert 1.5 to fraction: ",step3BeforeMath:"Multiply: ",step4BeforeMath:"Convert to mixed number: ",step5BeforeMath:"Or as decimal: ",step5AfterMath:" cups",answerBeforeMath:"**Answer: **",answerAfterMath:" cups (or 1.125 cups)"}},takeaways:{title:"Key Takeaways",items:["**Fraction addition/subtraction:** Find common denominator first","**Fraction multiplication:** Multiply numerators and denominators directly",'**Fraction division:** Multiply by the reciprocal ("flip and multiply")',"**Decimal addition/subtraction:** Line up decimal points vertically","**Decimal multiplication:** Count total decimal places in both numbers","**Decimal division:** Move decimal points to make divisor a whole number","**Conversions:** Fraction → Decimal (divide), Decimal → Fraction (use place value)","When mixing fractions and decimals, convert to one form before calculating","Always simplify your final answer to lowest terms"]}},j={header:{title:"Operasi pada Bilangan Real",subtitle:"Menguasai operasi pecahan dan desimal dengan percaya diri"},sectionA:{title:"A. Operasi dengan Pecahan",intro:"Tinjau empat operasi dasar dengan pecahan:",addSub:{title:"1. Penjumlahan & Pengurangan",rule:"**Aturan:** Cari penyebut persekutuan",exampleLabel:"Contoh: "},multiplication:{title:"2. Perkalian",rule:"**Aturan:** Kalikan langsung",exampleLabel:"Contoh: "},division:{title:"3. Pembagian (Kalikan dengan Kebalikan)",rule:"**Aturan:** Balik pecahan kedua lalu kalikan",exampleLabel:"Contoh: "},example1:{title:"Contoh 1: Menjumlahkan Pecahan dengan Penyebut Berbeda",calculate:"Hitung: ",solutionTitle:"**Solusi:**",step1:"Langkah 1: Cari KPK dari 3 dan 6 → KPK = 6",step2BeforeMath:"Langkah 2: Ubah ",step2AfterMath:" ke penyebut 6: ",step3BeforeMath:"Langkah 3: Jumlahkan: ",step4BeforeMath:"Langkah 4: Sederhanakan: ",answerBeforeMath:"**Jawaban: **"},example2:{title:"Contoh 2: Membagi Pecahan",calculate:"Hitung: ",solutionTitle:"**Solusi:**",step1BeforeMath:"Langkah 1: Balik pecahan kedua (kebalikan): ",step1AfterMath:" menjadi ",step2BeforeMath:"Langkah 2: Kalikan: ",step3BeforeMath:"Langkah 3: Kalikan pembilang dan penyebut: ",step4BeforeMath:"Langkah 4: Sederhanakan dengan membagi keduanya dengan 3: ",answerBeforeMath:"**Jawaban: **"},practice1:{title:"Latihan 1: Operasi Pecahan",calculate:"Hitung: ",show:"Tampilkan Solusi",hide:"Sembunyikan Solusi",solutionTitle:"**Solusi:**",step1:"Kalikan pembilang dan penyebut:",step2:"Sederhanakan dengan membagi keduanya dengan 12:",answerBeforeMath:"**Jawaban: **"}},sectionB:{title:"B. Operasi dengan Desimal",intro:"Saat bekerja dengan desimal, penyejajaran yang tepat dan pemahaman nilai tempat sangat penting:",rulesTitle:"Aturan Operasi Desimal",addSubTitle:"Penjumlahan & Pengurangan",addSubRule:"Sejajarkan titik desimal secara vertikal",multiplicationTitle:"Perkalian",multiplicationRule:"Kalikan sebagai bilangan bulat, lalu hitung total tempat desimal",multiplicationExampleLabel:"Contoh: ",multiplicationExampleAfter:" → 2 tempat desimal total → 0,36",divisionTitle:"Pembagian",divisionRule:"Geser titik desimal pada pembagi agar menjadi bilangan bulat, geser sama pada yang dibagi",divisionExampleLabel:"Contoh: ",decimalAlignTop:"12,35",decimalAlignPlus:"+ 3,7",decimalAlignResult:"16,05",example3:{title:"Contoh 3: Menjumlahkan Desimal",calculate:"Hitung: ",solutionTitle:"**Solusi:**",step1:"Langkah 1: Sejajarkan titik desimal",alignTop:"15,80",alignPlus:"+ 3,45",alignResult:"19,25",answer:"**Jawaban: 19,25**"},example4:{title:"Contoh 4: Mengalikan Desimal",calculate:"Hitung: ",solutionTitle:"**Solusi:**",step1BeforeMath:"Langkah 1: Kalikan sebagai bilangan bulat: ",step2:"Langkah 2: Hitung tempat desimal: 2,5 (1 tempat) + 1,2 (1 tempat) = 2 tempat total",step3:"Langkah 3: Letakkan desimal: 300 → 3,00",answer:"**Jawaban: 3,0 (atau 3)**"},practice2:{title:"Latihan 2: Operasi Desimal",calculate:"Hitung: ",show:"Tampilkan Solusi",hide:"Sembunyikan S
1olusi",solutionTitle:"**Solusi:**",step1:"Geser desimal pada pembagi (0,2) satu tempat ke kanan menjadi 2",step2:"Geser desimal pada yang dibagi (8,4) satu tempat ke kanan menjadi 84",step3BeforeMath:"Sekarang bagi: ",answer:"**Jawaban: 42**"}},sectionC:{title:"C. Mengubah antara Pecahan dan Desimal",fractionToDecimal:{title:"Pecahan → Desimal",method:"**Metode:** Bagi pembilang dengan penyebut",exampleLabel:"Contoh: ",exampleDetailLabel:"Bagi: "},decimalToFraction:{title:"Desimal → Pecahan",method:"**Metode:** Gunakan nilai tempat, lalu sederhanakan",exampleLabel:"Contoh: 0,6",exampleDetailBeforeMath:"",exampleDetailAfterMath:" (disederhanakan)"},example5:{title:"Contoh 5: Operasi Campuran (Pecahan & Desimal)",calculate:"Hitung: ",method1Title:"**Solusi Metode 1 (Ubah ke desimal):**",method1Step1BeforeMath:"Ubah pecahan: ",method1Step2BeforeMath:"Jumlahkan: ",method2Title:"**Solusi Metode 2 (Ubah ke pecahan):**",method2Step1BeforeMath:"Ubah desimal: ",method2Step2BeforeMath:"Jumlahkan: ",answerBeforeMath:"**Jawaban: 0,75 atau **",answerAfterMath:""},conversionTips:{title:"**Tips Konversi:**",commonFractionsLabel:"Pecahan umum yang perlu diingat: ",items:["Untuk desimal berulang: Gunakan aljabar atau metode konversi standar","Saat menjumlahkan/mengurangkan bentuk campuran, ubah ke satu jenis terlebih dahulu","Pilih bentu
1k yang membuat perhitungan lebih mudah"]},practice3:{title:"Latihan 3: Konversi",promptBeforeMath:"Ubah ",promptAfterMath:" menjadi desimal",show:"Tampilkan Solusi",hide:"Sembunyikan Solusi",solutionTitle:"**Solusi:**",step1BeforeMath:"Bagi pembilang dengan penyebut: ",step2BeforeMath:"",answer:"**Jawaban: 0,875**"},practice4:{title:"Latihan 4: Perhitungan Campuran",calculate:"Hitung: ",show:"Tampilkan Solusi",hide:"Sembunyikan Solusi",solutionTitle:"**Solusi:**",step1BeforeMath:"Ubah 0,5 menjadi pecahan: ",step2BeforeMath:"Kalikan: ",step3BeforeMath:"Atau sebagai desimal: ",answerBeforeMath:"**Jawaban: **",answerAfterMath:" atau 0,2"},practice5:{title:"Latihan 5: Soal Kehidupan Nyata",promptBeforeMath:"Sebuah resep membutuhkan ",promptAfterMath:" cangkir gula. Jika kamu ingin membuat 1,5 kali resep, berapa banyak gula yang dibutuhkan?",show:"Tampilkan Solusi",hide:"Sembunyikan Solusi",solutionTitle:"**Solusi:**",step1BeforeMath:"Kalikan: ",step2BeforeMath:"Ubah 1,5 menjadi pecahan: ",step3BeforeMath:"Kalikan: ",step4BeforeMath:"Ubah ke pecahan campuran: ",step5BeforeMath:"Atau sebagai desimal: ",step5AfterMath:" cangkir",answerBeforeMath:"**Jawaban: **",answerAfterMath:" cangkir (atau 1,125 cangkir)"}},takeaways:{title:"Poin Penting",items:["**Penjumlahan/pengurangan pecahan:** Cari penyebut persekutuan terlebih dahulu","**Perkalian pecahan:** Kalikan pembilang dan penyebut secara langsung",'**Pembagian pecahan:** Kalikan dengan kebalikan ("balik lalu kalikan")',"**Penjumlahan/pengurangan desimal:** Sejajarkan titik desimal secara vertikal","**Perkalian desimal:** Hitung total tempat desimal pada kedua bilangan","**Pembagian desimal:** Geser titik desimal agar pembagi menjadi bilangan bulat","**Konversi:** Pecahan → Desimal (bagi), Desimal → Pecahan (gunakan nilai tempat)","Saat mencampurkan pecahan dan desimal, ubah ke satu bentuk sebelum menghitung","Selalu sederhanakan jawaban akhir ke bentuk paling sederhana"]}};function i(a){return a.split(/(\*\*[^*]+\*\*)/).map((r,l)=>r.startsWith("**")&&r.endsWith("**")?e.jsx("strong",{children:r.slice(2,-2)},l):r)}function P(){const a=g(f,j),[n,r]=s.useState(!1),[l,h]=s.useState(!1),[o,x]=s.useState(!1),[c,u]=s.useState(!1),[d,b]=s.useState(!1);return e.jsxs("div",{className:"max-w-4xl mx-auto p-6 bg-white dark:bg-gray-900",children:[e.jsxs("div",{className:"bg-gradient-to-r from-orange-500 to-red-600 dark:from-orange-600 dark:to-red-700 text-white p-6 rounded-t-lg",children:[e.jsx("h1",{className:"text-3xl font-bold",children:a.header.title}),e.jsx("p",{className:"mt-2 text-orange-100",children:a.header.subtitle})]}),e.jsxs("div",{className:"p-6 space-y-8",children:[e.jsxs("section",{className:"mb-8",children:[e.jsx("h2",{className:"text-2xl font-semibold mb-4 text-gray-800 dark:text-gray-100",children:a.sectionA.title}),e.jsxs("div",{className:"mb-6",children:[e.jsx("p",{className:"text-gray-700 dark:text-gray-300 mb-4",children:a.sectionA.intro}),e.jsxs("div",{className:"grid grid-cols-1 md:grid-cols-2 gap-4 mb-6",children:[e.jsxs("div",{className:"bg-orange-50 dark:bg-orange-900/20 border-l-4 border-orange-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-orange-800 dark:text-orange-300 mb-3",children:a.sectionA.addSub.title}),e.jsxs("div",{className:"space-y-2 text-sm text-gray-700 dark:text-gray-300",children:[e.jsx("p",{children:i(a.sectionA.addSub.rule)}),e.jsx("p",{children:e.jsx(t,{children:"$\\frac{a}{b} + \\frac{c}{d} = \\frac{ad + bc}{bd}$"})}),e.jsxs("p",{className:"text-xs text-gray-600 dark:text-gray-400 mt-2",children:[a.sectionA.addSub.exampleLabel,e.jsx(t,{children:"$\\frac{1}{4} + \\frac{1}{6} = \\frac{3}{12} + \\frac{2}{12} = \\frac{5}{12}$"})]})]})]}),e.jsxs("div",{className:"bg-blue-50 dark:bg-blue-900/20 border-l-4 border-blue-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-blue-800 dark:text-blue-300 mb-3",children:a.sectionA.multiplication.title}),e.jsxs("div",{className:"space-y-2 text-sm text-gray-700 dark:text-gray-300",children:[e.jsx("p",{children:i(a.sectionA.multiplication.rule)}),e.jsx("p",{children:e.jsx(t,{children:"$\\frac{a}{b} \\times \\frac{c}{d} = \\frac{a \\times c}{b \\times d}$"})}),e.jsxs("p",{className:"text-xs text-gray-600 dark:text-gray-400 mt-2",children:[a.sectionA.multiplication.exampleLabel,e.jsx(t,{children:"$\\frac{2}{3} \\times \\frac{4}{5} = \\frac{8}{15}$"})]})]})]}),e.jsxs("div",{className:"bg-green-50 dark:bg-green-900/20 border-l-4 border-green-500 p-4 rounded md:col-span-2",children:[e.jsx("h3",{className:"font-semibold text-green-800 dark:text-green-300 mb
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mb-3",children:[a.sectionB.example3.calculate,e.jsx(t,{children:"15.8 + 3.45"})]}),e.jsxs("div",{className:"space-y-2 text-gray-700 dark:text-gray-300",children:[e.jsx("p",{children:i(a.sectionB.example3.solutionTitle)}),e.jsx("p",{children:a.sectionB.example3.step1}),e.jsx("div",{className:"font-mono text-sm bg-gray-50 dark:bg-gray-900 p-3 rounded my-2",children:e.jsxs("div",{className:"text-right",children:[e.jsx("p",{children:a.sectionB.example3.alignTop}),e.jsx("p",{children:a.sectionB.example3.alignPlus}),e.jsx("p",{className:"border-t border-gray-400 dark:border-gray-600",children:a.sectionB.example3.alignResult})]})}),e.jsx("p",{children:i(a.sectionB.example3.answer)})]})]}),e.jsxs("div",{className:"bg-blue-50 dark:bg-blue-900/20 border-l-4 border-blue-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-blue-800 dark:text-blue-300 mb-2",children:a.sectionB.example4.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-3",children:[a.sectionB.example4.calculate,e.jsx(t,{children:"2.5 × 1.2"})]}),e.jsxs("div",{className:"space-y-2 text-gray-700 dark:text-gray-300",children:[e.jsx("p",{children:i(a.sectionB.example4.solutionTitle)}),e.jsxs("p",{children:[a.sectionB.example4.step1BeforeMath,e.jsx(t,{children:"25 × 12 = 300"})]}),e.jsx("p",{children:a.sectionB.example4.step2}),e.jsx("p",{children:a.sectionB.example4.step3}),e.jsx("p",{children:i(a.sectionB.example4.answer)})]})]})]}),e.jsxs("div",{className:"bg-yellow-50 dark:bg-yellow-900/20 border-l-4 border-yellow-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-yellow-800 dark:text-yellow-300 mb-2",children:a.sectionB.practice2.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-2",children:[a.sectionB.practice2.calculate,e.jsx(t,{children:"8.4 ÷ 0.2"})]}),e.jsx("button",{onClick:()=>h(!l),className:"mt-2 px-4 py-2 bg-yellow-500 hover:bg-yellow-600 dark:bg-yellow-600 dark:hover:bg-yellow-700 text-white rounded transition-colors",children:l?a.sectionB.practice2.hide:a.sectionB.practice2.show}),l&&e.jsx("div",{className:"mt-4 p-4 bg-white dark:bg-gray-800 rounded border border-yellow-300 dark:border-yellow-700",children:e.jsxs("div",{className:"text-gray-700 dark:text-gray-300 space-y-2",children:[e.jsx("p",{children:i(a.sectionB.practice2.solutionTitle)}),e.jsx("p",{children:a.sectionB.practice2.step1}),e.jsx("p",{children:a.sectionB.practice2.step2}),e.jsxs("p",{children:[a.sectionB.practice2.step3BeforeMath,e.jsx(t,{children:"84 ÷ 2 = 42"})]}),e.jsx("p",{children:i(a.sectionB.practice2.answer)})]})})]})]}),e.jsxs("section",{className:"mb-8",children:[e.jsx("h2",{className:"text-2xl font-semibold mb-4 text-gray-800 dark:text-gray-100",children:a.sectionC.title}),e.jsxs("div",{className:"mb-6",children:[e.jsxs("div",{className:"grid grid-cols-1 md:grid-cols-2 gap-4 mb-6",children:[e.jsxs("div",{className:"bg-orange-50 dark:bg-orange-900/20 border-l-4 border-orange-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-orange-800 dark:text-orange-300 mb-3",children:a.sectionC.fractionToDecimal.title}),e.jsx("p",{className:"text-sm text-gray-700 dark:text-gray-300 mb-3",children:i(a.sectionC.fractionToDecimal.method)}),e.jsxs("div",{className:"bg-white dark:bg-gray-800 p-3 rounded text-sm",children:[e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-1",children:[a.sectionC.fractionToDecimal.exampleLabel,e.jsx(t,{children:"$\\frac{3}{4}$"})]}),e.jsxs("p",{className:"text-gray-600 dark:text-gray-400 text-xs",children:[a.sectionC.fractionToDecimal.exampleDetailLabel,e.jsx(t,{children:"3 ÷ 4 = 0.75"})]})]})]}),e.jsxs("div",{className:"bg-blue-50 dark:bg-blue-900/20 border-l-4 border-blue-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-blue-800 dark:text-blue-300 mb-3",children:a.sectionC.decimalToFraction.title}),e.jsx("p",{className:"text-sm text-gray-700 dark:text-gray-300 mb-3",children:i(a.sectionC.decimalToFraction.method)}),e.jsxs("div",{className:"bg-white dark:bg-gray-800 p-3 rounded text-sm",children:[e.jsx("p",{className:"text-gray-700 dark:text-gray-300 mb-1",children:a.sectionC.decimalToFraction.exampleLabel}),e.jsxs("p",{className:"text-gray-600 dark:text-gray-400 text-xs",children:[a.sectionC.decimalToFraction.exampleDetailBeforeMath,e.jsx(t,{children:"$\\frac{6}{10} = \\frac{3}{5}$"}),a.sectionC.decimalToFraction.exampleDetailAfterMath]})]})]})]}),e.jsxs("div",{className:"bg-blue-50 dark:bg-blue-900/20 border-l-4 border-blue-500 p-4 rounded mb-6",children:[e.jsx("h3",{className:"font-semibold text-blue-800 dark:text-blue-300 mb-2",children:a.sectionC.example5.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-3",children:[a.sectionC.example5.calculate,e.jsx(t,{children:"$\\frac{1}{2} + 0.25$"})]}),e.jsxs("div",{className:"space-y-2 text-gray-700 dark:text-gray-300",children:[e.jsx("p",{children:i(a.sectionC.example5.method1Title)}),e.jsxs("p",{children:[a.sectionC.example5.method1Step1BeforeMath,e.jsx(t,{children:"$\\frac{1}{2} = 0.5$"})]}),e.jsxs("p",{children:[a.sectionC.example5.method1Step2BeforeMath,e.jsx(t,{children:"0.5 + 0.25 = 0.75"})]}),e.jsx("p",{className:"mt-3",children:i(a.sectionC.example5.method2Title)}),e.jsxs("p",{children:[a.sectionC.example5.method2Step1BeforeMath,e.jsx(t,{children:"$0.25 = \\frac{25}{100} = \\frac{1}{4}$"})]}),e.jsxs("p",{children:[a.sectionC.example5.method2Step2BeforeMath,e.jsx(t,{children:"$\\frac{1}{2} + \\frac{1}{4} = \\frac{2}{4} + \\frac{1}{4} = \\frac{3}{4}$"})]}),e.jsxs("p",{className:"mt-3",children:[i(a.sectionC.example5.answerBeforeMath),e.jsx(t,{children:"$\\frac{3}{4}$"}),a.sectionC.example5.answerAfterMath]})]})]}),e.jsxs("div",{className:"bg-gray-50 dark:bg-gray-800 border border-gray-200 dark:border-gray-700 p-4 rounded",children:[e.jsx("p",{className:"text-gray-700 dark:text-gray-300",children:e.jsx("strong",{className:"text-gray-900 dark:text-gray-100",children:i(a.sectionC.conversionTips.title)})}),e.jsxs("ul",{className:"list-disc list-inside space-y-1 text-gray-700 dark:text-gray-300 ml-4 mt-2 text-sm",children:[e.jsxs("li",{children:[a.sectionC.conversionTips.commonFractionsLabel,e.
1jsx(t,{children:"$\\frac{1}{2} = 0.5$"}),", ",e.jsx(t,{children:"$\\frac{1}{4} = 0.25$"}),", ",e.jsx(t,{children:"$\\frac{3}{4} = 0.75$"})]}),a.sectionC.conversionTips.items.map((m,p)=>e.jsx("li",{children:m},p))]})]})]}),e.jsxs("div",{className:"bg-yellow-50 dark:bg-yellow-900/20 border-l-4 border-yellow-500 p-4 rounded mb-4",children:[e.jsx("h3",{className:"font-semibold text-yellow-800 dark:text-yellow-300 mb-2",children:a.sectionC.practice3.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-2",children:[a.sectionC.practice3.promptBeforeMath,e.jsx(t,{children:"$\\frac{7}{8}$"}),a.sectionC.practice3.promptAfterMath]}),e.jsx("button",{onClick:()=>x(!o),className:"mt-2 px-4 py-2 bg-yellow-500 hover:bg-yellow-600 dark:bg-yellow-600 dark:hover:bg-yellow-700 text-white rounded transition-colors",children:o?a.sectionC.practice3.hide:a.sectionC.practice3.show}),o&&e.jsx("div",{className:"mt-4 p-4 bg-white dark:bg-gray-800 rounded border border-yellow-300 dark:border-yellow-700",children:e.jsxs("div",{className:"text-gray-700 dark:text-gray-300 space-y-2",children:[e.jsx("p",{children:i(a.sectionC.practice3.solutionTitle)}),e.jsxs("p",{children:[a.sectionC.practice3.step1BeforeMath,e.jsx(t,{children:"7 ÷ 8"})]}),e.jsx("p",{children:e.jsx(t,{children:"7 ÷ 8 = 0.875"})}),e.jsx("p",{children:i(a.sectionC.practice3.answer)})]})})]}),e.jsxs("div",{className:"bg-yellow-50 dark:bg-yellow-900/20 border-l-4 border-yellow-500 p-4 rounded mb-4",children:[e.jsx("h3",{className:"font-semibold text-yellow-800 dark:text-yellow-300 mb-2",children:a.sectionC.practice4.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-2",children:[a.sectionC.practice4.calculate,e.jsx(t,{children:"$0.5 \\times \\frac{2}{5}$"})]}),e.jsx("button",{onClick:()=>u(!c),className:"mt-2 px-4 py-2 bg-yellow-500 hover:bg-yellow-600 dark:bg-yellow-600 dark:hover:bg-yellow-700 text-white rounded transition-colors",children:c?a.sectionC.practice4.hide:a.sectionC.practice4.show}),c&&e.jsx("div",{className:"mt-4 p-4 bg-white dark:bg-gray-800 rounded border border-yellow-300 dark:border-yellow-700",children:e.jsxs("div",{className:"text-gray-700 dark:text-gray-300 space-y-2",children:[e.jsx("p",{children:i(a.sectionC.practice4.solutionTitle)}),e.jsxs("p",{children:[a.sectionC.practice4.step1BeforeMath,e.jsx(t,{children:"$0.5 = \\frac{1}{2}$"})]}),e.jsxs("p",{children:[a.sectionC.practice4.step2BeforeMath,e.jsx(t,{children:"$\\frac{1}{2} \\times \\frac{2}{5} = \\frac{2}{10} = \\frac{1}{5}$"})]}),e.jsxs("p",{children:[a.sectionC.practice4.step3BeforeMath,e.jsx(t,{children:"$\\frac{1}{5} = 0.2$"})]}),e.jsxs("p",{children:[i(a.sectionC.practice4.answerBeforeMath),e.jsx(t,{children:"$\\frac{1}{5}$"}),a.sectionC.practice4.answerAfterMath]})]})})]}),e.jsxs("div",{className:"bg-yellow-50 dark:bg-yellow-900/20 border-l-4 border-yellow-500 p-4 rounded",children:[e.jsx("h3",{className:"font-semibold text-yellow-800 dark:text-yellow-300 mb-2",children:a.sectionC.practice5.title}),e.jsxs("p",{className:"text-gray-700 dark:text-gray-300 mb-2",children:[a.sectionC.practice5.promptBeforeMath,e.jsx(t,{children:"$\\frac{3}{4}$"}),a.sectionC.practice5.promptAfterMath]}),e.jsx("button",{onClick:()=>b(!d),className:"mt-2 px-4 py-2 bg-yellow-500 hover:bg-yellow-600 dark:bg-yellow-600 dark:hover:bg-yellow-700 text-white rounded transition-colors",children:d?a.sectionC.practice5.hide:a.sectionC.practice5.show}),d&&e.jsx("div",{className:"mt-4 p-4 bg-white dark:bg-gray-800 rounded border border-yellow-300 dark:border-yellow-700",children:e.jsxs("div",{className:"text-gray-700 dark:text-gray-300 space-y-2",children:[e.jsx("p",{children:i(a.sectionC.practice5.solutionTitle)}),e.jsxs("p",{children:[a.sectionC.practice5.step1BeforeMath,e.jsx(t,{children:"$\\frac{3}{4} \\times 1.5$"})]}),e.jsxs("p",{children:[a.sectionC.practice5.step2BeforeMath,e.jsx(t,{children:"$1.5 = \\frac{3}{2}$"})]}),e.jsxs("p",{children:[a.sectionC.practice5.step3BeforeMath,e.jsx(t,{children:"$\\frac{3}{4} \\times \\frac{3}{2} = \\frac{9}{8}$"})]}),e.jsxs("p",{children:[a.sectionC.practice5.step4BeforeMath,e.jsx(t,{children:"$\\frac{9}{8} = 1\\frac{1}{8}$"})]}),e.jsxs("p",{children:[a.sectionC.practice5.step5BeforeMath,e.jsx(t,{children:"$1\\frac{1}{8} = 1.125$"}),a.sectionC.practice5.step5AfterMath]}),e.jsxs("p",{children:[i(a.sectionC.practice5.answerBeforeMath),e.jsx(t,{children:"$1\\frac{1}{8}$"}),a.sectionC.practice5.answerAfterMath]})]})})]})]}),e.jsxs("div",{className:"bg-orange-50 dark:bg-orange-900/30 border-l-4 border-orange-500 p-6 rounded mt-8",children:[e.jsx("h3",{className:"text-xl font-semibold text-orange-700 dark:text-orange-300 mb-3",children:a.takeaways.title}),e.jsx("ul",{className:"list-disc list-inside space-y-2 text-gray-700 dark:text-gray-300",children:a.takeaways.items.map((m,p)=>e.jsx("li",{children:i(m)},p))})]})]})]})}export{P as default};

Line numbers count LF bytes from the start of the resource, as the search results do. Vendor segments are library code the classifier recognised; they are stored but not indexed. Bytes are shown as Latin1 characters, one per byte.