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Original
2026-01-01
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2026-02-28
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<p>226 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. A 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. Fractions represent 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, 0.17777, we are going to learn how to convert this repeating decimal to a fraction.</p>
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<p>Numbers can be categorized into different types. A 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. Fractions represent 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, 0.17777, we are going to learn how to convert this repeating decimal to a fraction.</p>
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<h2>What is 0.17777 as a Fraction?</h2>
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<h2>What is 0.17777 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 0.17777 as a<a>fraction</a>will be 16/90.</p>
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<p>The answer for 0.17777 as a<a>fraction</a>will be 16/90.</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 involves a few more steps but can still be done systematically. Here's how you can convert 0.17777 to a fraction.</p>
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<p>Converting a repeating<a>decimal</a>to a fraction involves a few more steps but can still be done systematically. Here's how you can convert 0.17777 to a fraction.</p>
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<p><strong>Step 1:</strong>Let x equal the repeating decimal: x = 0.17777...</p>
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<p><strong>Step 1:</strong>Let x equal the repeating decimal: x = 0.17777...</p>
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<p><strong>Step 2:</strong>Multiply both sides<a>of</a>the<a>equation</a>by 100 to shift the decimal point two places to the right: 100x = 17.777...</p>
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<p><strong>Step 2:</strong>Multiply both sides<a>of</a>the<a>equation</a>by 100 to shift the decimal point two places to the right: 100x = 17.777...</p>
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<p><strong>Step 3:</strong>Subtract the original equation from this new equation to eliminate the repeating part: 100x - x = 17.777... - 0.17777... 99x = 17.6</p>
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<p><strong>Step 3:</strong>Subtract the original equation from this new equation to eliminate the repeating part: 100x - x = 17.777... - 0.17777... 99x = 17.6</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 99: x = 17.6/99</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 99: x = 17.6/99</p>
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<p><strong>Step 5:</strong>Since 17.6 is not a<a>whole number</a>, multiply<a>numerator and denominator</a>by 10 to eliminate the decimal: x = 176/990</p>
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<p><strong>Step 5:</strong>Since 17.6 is not a<a>whole number</a>, multiply<a>numerator and denominator</a>by 10 to eliminate the decimal: x = 176/990</p>
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<p><strong>Step 6:</strong>Simplify the fraction by finding the GCD of 176 and 990, which is 11: x = 16/90</p>
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<p><strong>Step 6:</strong>Simplify the fraction by finding the GCD of 176 and 990, which is 11: x = 16/90</p>
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<p><strong>Thus, 0.17777 can be written as a fraction 16/90.</strong></p>
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<p><strong>Thus, 0.17777 can be written as a fraction 16/90.</strong></p>
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<h2>Important Glossaries for 0.17777 as a Fraction</h2>
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<h2>Important Glossaries for 0.17777 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 in which one or more digits repeat infinitely. </li>
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<li><strong>Repeating Decimal:</strong>A decimal in which one or more digits repeat infinitely. </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>