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Original
2026-01-01
Modified
2026-02-28
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<p>228 Learners</p>
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<p>256 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 of these types. A fraction is 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, 1.666666666666. 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 of these types. A fraction is 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, 1.666666666666. We are going to learn how to convert a repeating decimal to a fraction.</p>
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<h2>What is 1.666666666666 as a Fraction?</h2>
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<h2>What is 1.666666666666 as a Fraction?</h2>
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<h3>Answer:</h3>
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<h3>Answer:</h3>
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<p>The answer for 1.666666666666 as a<a>fraction</a>will be 5/3.</p>
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<p>The answer for 1.666666666666 as a<a>fraction</a>will be 5/3.</p>
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<h3>Explanation:</h3>
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<h3>Explanation:</h3>
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<p>Converting a repeating<a>decimal</a>to a fraction involves a straightforward process. Follow the steps below to find the answer.</p>
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<p>Converting a repeating<a>decimal</a>to a fraction involves a straightforward process. Follow the steps below to find the answer.</p>
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<p><strong>Step 1:</strong>Let x = 1.666666666666...</p>
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<p><strong>Step 1:</strong>Let x = 1.666666666666...</p>
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<p><strong>Step 2:</strong>Since the decimal repeats every 6, multiply both sides of the<a>equation</a>by 10 to shift the decimal point to the right by one place. 10x = 16.66666666666...</p>
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<p><strong>Step 2:</strong>Since the decimal repeats every 6, multiply both sides of the<a>equation</a>by 10 to shift the decimal point to the right by one place. 10x = 16.66666666666...</p>
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<p><strong>Step 3:</strong>Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part. 10x - x = 16.66666666666 - 1.666666666666 9x = 15</p>
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<p><strong>Step 3:</strong>Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part. 10x - x = 16.66666666666 - 1.666666666666 9x = 15</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 15/9</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 15/9</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<a>greatest common divisor</a>, which is 3. 15/9 = 5/3</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<a>greatest common divisor</a>, which is 3. 15/9 = 5/3</p>
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<p>Thus, 1.666666666666 can be written as the fraction 5/3.</p>
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<p>Thus, 1.666666666666 can be written as the fraction 5/3.</p>
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<h2>Important Glossaries for 1.666666666666 as a Fraction</h2>
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<h2>Important Glossaries for 1.666666666666 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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</ul><ul><li><strong>Decimal:</strong>A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.</li>
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</ul><ul><li><strong>Decimal:</strong>A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.</li>
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</ul><ul><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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</ul><ul><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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</ul><ul><li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
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</ul><ul><li><strong>Denominator:</strong>The bottom part of a fraction, showing how many parts make up a whole.</li>
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</ul><ul><li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats infinitely.</li>
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</ul><ul><li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats infinitely.</li>
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</ul>
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</ul>