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2026-01-01
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2026-02-28
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<p>204 Learners</p>
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<p>243 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Numbers can be categorized into different types. Fractions are one such category. They are always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 1.3333333333. We are going to learn how to convert a repeating decimal to a fraction.</p>
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<p>Numbers can be categorized into different types. Fractions are one such category. They are always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 1.3333333333. We are going to learn how to convert a repeating decimal to a fraction.</p>
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<h2>What is 1.3333333333 as a Fraction?</h2>
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<h2>What is 1.3333333333 as a Fraction?</h2>
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<h3><strong>Answer</strong></h3>
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<h3><strong>Answer</strong></h3>
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<p>The answer for 1.3333333333 as a<a>fraction</a>is 4/3.</p>
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<p>The answer for 1.3333333333 as a<a>fraction</a>is 4/3.</p>
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<h3><strong>Explanation</strong></h3>
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<h3><strong>Explanation</strong></h3>
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<p>Converting a repeating<a>decimal</a>to a fraction can be done systematically. Follow the steps mentioned below to find the answer.</p>
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<p>Converting a repeating<a>decimal</a>to a fraction can be done systematically. Follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Let x = 1.3333333333...</p>
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<p><strong>Step 1:</strong>Let x = 1.3333333333...</p>
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<p><strong>Step 2:</strong>Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 13.3333333333...</p>
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<p><strong>Step 2:</strong>Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 13.3333333333...</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 1.3333333333...) from this new equation (10x = 13.3333333333...). 10x - x = 13.3333333333... - 1.3333333333... 9x = 12</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 1.3333333333...) from this new equation (10x = 13.3333333333...). 10x - x = 13.3333333333... - 1.3333333333... 9x = 12</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 12/9</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 12/9</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing both the<a>numerator</a>and the<a>denominator</a>by their GCD, which is 3. 12/9 = 4/3</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing both the<a>numerator</a>and the<a>denominator</a>by their GCD, which is 3. 12/9 = 4/3</p>
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<p><strong>Thus, 1.3333333333 can be written as a fraction 4/3.</strong></p>
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<p><strong>Thus, 1.3333333333 can be written as a fraction 4/3.</strong></p>
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<h2>Important Glossaries for 1.3333333333 as a Fraction</h2>
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<h2>Important Glossaries for 1.3333333333 as a Fraction</h2>
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<ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, representing a part of a whole. </li>
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<ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, representing a part of a whole. </li>
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<li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats indefinitely. </li>
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<li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats indefinitely. </li>
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<li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered. </li>
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<li><strong>Numerator:</strong>The top part of a fraction, indicating how many parts of the whole are being considered. </li>
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<li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole. </li>
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<li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole. </li>
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<li><strong>Greatest Common Divisor (GCD):</strong>The largest positive integer that divides each of the integers in a set without leaving a remainder.</li>
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<li><strong>Greatest Common Divisor (GCD):</strong>The largest positive integer that divides each of the integers in a set without leaving a remainder.</li>
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</ul>
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</ul>