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2026-01-01
Modified
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 kinds. 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, 1.57142857143, 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 kinds. 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, 1.57142857143, we are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 1.57142857143 as a Fraction?</h2>
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<h2>What is 1.57142857143 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 1.57142857143 as a<a>fraction</a>will be 11/7.</p>
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<p>The answer for 1.57142857143 as a<a>fraction</a>will be 11/7.</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<a>decimal</a>to a fraction can be done by identifying repeating patterns. You can follow the steps mentioned below to find the answer.</p>
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<p>Converting a<a>decimal</a>to a fraction can be done by identifying repeating patterns. You can follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Recognize the repeating decimal pattern. Here, 1.57142857143 has a repeating part of 571428. Thus, we express it as 1.571428... which is 1 + 0.571428...</p>
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<p><strong>Step 1:</strong>Recognize the repeating decimal pattern. Here, 1.57142857143 has a repeating part of 571428. Thus, we express it as 1.571428... which is 1 + 0.571428...</p>
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<p><strong>Step 2:</strong>Assign x to the repeating decimal: x = 0.571428...</p>
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<p><strong>Step 2:</strong>Assign x to the repeating decimal: x = 0.571428...</p>
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<p><strong>Step 3:</strong>Multiply by 10^6 (because the repeating part has 6 digits) to shift the decimal point: 1000000x = 571428.571428...</p>
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<p><strong>Step 3:</strong>Multiply by 10^6 (because the repeating part has 6 digits) to shift the decimal point: 1000000x = 571428.571428...</p>
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<p><strong>Step 4:</strong>Subtract the original x from this<a>equation</a>: 1000000x - x = 571428.571428... - 0.571428... which simplifies to 999999x = 571428</p>
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<p><strong>Step 4:</strong>Subtract the original x from this<a>equation</a>: 1000000x - x = 571428.571428... - 0.571428... which simplifies to 999999x = 571428</p>
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<p><strong>Step 5:</strong>Solve for x: x = 571428/999999</p>
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<p><strong>Step 5:</strong>Solve for x: x = 571428/999999</p>
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<p><strong>Step 6:</strong>Simplify the fraction: The GCD of 571428 and 999999 is 142857. Dividing both by their GCD gives 4/7. Therefore, 1.571428... = 1 + 4/7 = 11/7.</p>
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<p><strong>Step 6:</strong>Simplify the fraction: The GCD of 571428 and 999999 is 142857. Dividing both by their GCD gives 4/7. Therefore, 1.571428... = 1 + 4/7 = 11/7.</p>
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<p><strong>Thus, 1.57142857143 can be written as a fraction 11/7.</strong></p>
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<p><strong>Thus, 1.57142857143 can be written as a fraction 11/7.</strong></p>
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<h2>Important Glossaries for 1.57142857143 as a Fraction</h2>
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<h2>Important Glossaries for 1.57142857143 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>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><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>
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</ul>