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2026-01-01
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2026-02-28
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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. 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, 0.142857142857. 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. 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, 0.142857142857. We are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 0.142857142857 as a Fraction?</h2>
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<h2>What is 0.142857142857 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 0.142857142857 as a<a>fraction</a>will be 1/7.</p>
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<p>The answer for 0.142857142857 as a<a>fraction</a>will be 1/7.</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 a task that can be done easily by following a systematic approach. 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 a task that can be done easily by following a systematic approach. You can follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Identify the repeating part<a>of</a>the decimal. Here, 0.142857142857... has a repeating block of 142857.</p>
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<p><strong>Step 1:</strong>Identify the repeating part<a>of</a>the decimal. Here, 0.142857142857... has a repeating block of 142857.</p>
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<p><strong>Step 2:</strong>Let x = 0.142857142857...</p>
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<p><strong>Step 2:</strong>Let x = 0.142857142857...</p>
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<p><strong>Step 3:</strong>Multiply x by 1000000 (since the repeating block is 6 digits long) to shift the decimal point: 1000000x = 142857.142857...</p>
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<p><strong>Step 3:</strong>Multiply x by 1000000 (since the repeating block is 6 digits long) to shift the decimal point: 1000000x = 142857.142857...</p>
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<p><strong>Step 4:</strong>Subtract the original x from this<a>equation</a>to eliminate the repeating part: 1000000x - x = 142857.142857... - 0.142857142857...</p>
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<p><strong>Step 4:</strong>Subtract the original x from this<a>equation</a>to eliminate the repeating part: 1000000x - x = 142857.142857... - 0.142857142857...</p>
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<p><strong>Step 5:</strong>Simplify the equation: 999999x = 142857</p>
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<p><strong>Step 5:</strong>Simplify the equation: 999999x = 142857</p>
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<p><strong>Step 6:</strong>Solve for x by dividing both sides by 999999: x = 142857/999999</p>
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<p><strong>Step 6:</strong>Solve for x by dividing both sides by 999999: x = 142857/999999</p>
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<p><strong>Step 7:</strong>Reduce the fraction by dividing both the<a>numerator</a>and the<a>denominator</a>by their<a>greatest common divisor</a>(GCD), which is 142857: 142857/999999 = 1/7</p>
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<p><strong>Step 7:</strong>Reduce the fraction by dividing both the<a>numerator</a>and the<a>denominator</a>by their<a>greatest common divisor</a>(GCD), which is 142857: 142857/999999 = 1/7</p>
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<p><strong>Thus, 0.142857142857 can be written as a fraction 1/7.</strong></p>
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<p><strong>Thus, 0.142857142857 can be written as a fraction 1/7.</strong></p>
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<h2>Important Glossaries for 0.142857142857 as a Fraction</h2>
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<h2>Important Glossaries for 0.142857142857 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 fraction in which a figure or group of figures is repeated indefinitely. </li>
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<li><strong>Repeating Decimal:</strong>A decimal fraction in which a figure or group of figures is repeated 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>