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2026-01-01
Modified
2026-02-28
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<p>241 Learners</p>
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<p>262 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. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 0.16666666666666666. We are going to learn how to convert a decimal to a fraction.</p>
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<p>Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 0.16666666666666666. We are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 0.16666666666666666 as a Fraction?</h2>
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<h2>What is 0.16666666666666666 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 0.16666666666666666 as a<a>fraction</a>is 1/6.</p>
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<p>The answer for 0.16666666666666666 as a<a>fraction</a>is 1/6.</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 is straightforward. You can follow the steps mentioned below to find the answer.</p>
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<p>Converting a repeating<a>decimal</a>to a fraction is straightforward. You can follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Let x equal the repeating decimal<a>number</a>. Here, x = 0.16666666666666666...</p>
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<p><strong>Step 1:</strong>Let x equal the repeating decimal<a>number</a>. Here, x = 0.16666666666666666...</p>
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<p><strong>Step 2:</strong>Multiply x by 10 to move the decimal point one place to the right, since the repeating part is a single digit. 10x = 1.6666666666666666...</p>
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<p><strong>Step 2:</strong>Multiply x by 10 to move the decimal point one place to the right, since the repeating part is a single digit. 10x = 1.6666666666666666...</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 0.16666666666666666...) from this new equation. 10x - x = 1.6666666666666666... - 0.16666666666666666... 9x = 1.5</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 0.16666666666666666...) from this new equation. 10x - x = 1.6666666666666666... - 0.16666666666666666... 9x = 1.5</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 1.5/9</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9. x = 1.5/9</p>
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<p><strong>Step 5:</strong>Simplify the fraction by multiplying the<a>numerator</a>and the<a>denominator</a>by 2 to eliminate the decimal. x = (1.5*2)/(9*2) = 3/18 = 1/6</p>
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<p><strong>Step 5:</strong>Simplify the fraction by multiplying the<a>numerator</a>and the<a>denominator</a>by 2 to eliminate the decimal. x = (1.5*2)/(9*2) = 3/18 = 1/6</p>
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<p><strong>Thus, 0.16666666666666666 can be written as the fraction 1/6.</strong></p>
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<p><strong>Thus, 0.16666666666666666 can be written as the fraction 1/6.</strong></p>
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<h2>Important Glossaries for 0.16666666666666666 as a Fraction</h2>
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<h2>Important Glossaries for 0.16666666666666666 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>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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<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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<li><strong>Repeating Decimal:</strong>A decimal that has one or more repeating digits after the decimal point indefinitely. </li>
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<li><strong>Repeating Decimal:</strong>A decimal that has one or more repeating digits after the decimal point 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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</ul>
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</ul>