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Original
2026-01-01
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2026-02-28
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<p>223 Learners</p>
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<p>241 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. Decimals are expressed with a decimal point (.), for example, 0.7777777. 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. 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. Decimals are expressed with a decimal point (.), for example, 0.7777777. We are going to learn how to convert a repeating decimal to a fraction.</p>
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<h2>What is 0.7777777 as a Fraction?</h2>
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<h2>What is 0.7777777 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 0.7777777 as a<a>fraction</a>will be 7/9.</p>
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<p>The answer for 0.7777777 as a<a>fraction</a>will be 7/9.</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 recognizing the repeating part and following a structured 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 involves recognizing the repeating part and following a structured approach. You can follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Let x = 0.7777777... (the repeating decimal).</p>
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<p><strong>Step 1:</strong>Let x = 0.7777777... (the repeating decimal).</p>
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<p><strong>Step 2:</strong>Since one digit is repeating, multiply by 10 to shift the decimal point one place to the right: 10x = 7.7777777...</p>
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<p><strong>Step 2:</strong>Since one digit is repeating, multiply by 10 to shift the decimal point one place to the right: 10x = 7.7777777...</p>
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<p><strong>Step 3:</strong>Subtract the original x from this<a>equation</a>to eliminate the repeating part: 10x - x = 7.7777777... - 0.7777777... 9x = 7</p>
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<p><strong>Step 3:</strong>Subtract the original x from this<a>equation</a>to eliminate the repeating part: 10x - x = 7.7777777... - 0.7777777... 9x = 7</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 7/9</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 7/9</p>
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<p><strong>Thus, 0.7777777 can be written as a fraction 7/9.</strong></p>
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<p><strong>Thus, 0.7777777 can be written as a fraction 7/9.</strong></p>
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<h2>Important Glossaries for 0.7777777 as a Fraction</h2>
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<h2>Important Glossaries for 0.7777777 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 one or more digits repeat infinitely.</li>
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</ul><ul><li><strong>Repeating Decimal:</strong>A decimal in which one or more digits repeat 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>