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Original
2026-01-01
Modified
2026-02-28
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<p>276 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. 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, 0.090909, 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, 0.090909, we are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 0.090909 as a Fraction?</h2>
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<h2>What is 0.090909 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 0.090909 as a<a>fraction</a>will be 1/11.</p>
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<p>The answer for 0.090909 as a<a>fraction</a>will be 1/11.</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 specific steps. 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 a few specific steps. 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: x = 0.090909...</p>
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<p><strong>Step 1:</strong>Let x equal the repeating decimal: x = 0.090909...</p>
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<p><strong>Step 2:</strong>Multiply by a<a>power</a>of 10 to move the decimal point so that the repeating part aligns with itself. Since the repeating part has two digits, multiply by 100: 100x = 9.090909...</p>
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<p><strong>Step 2:</strong>Multiply by a<a>power</a>of 10 to move the decimal point so that the repeating part aligns with itself. Since the repeating part has two digits, multiply by 100: 100x = 9.090909...</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating part: 100x - x = 9.090909... - 0.090909... 99x = 9</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating part: 100x - x = 9.090909... - 0.090909... 99x = 9</p>
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<p><strong>Step 4:</strong>Divide both sides by 99 to solve for x: x = 9/99</p>
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<p><strong>Step 4:</strong>Divide both sides by 99 to solve for x: x = 9/99</p>
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<p><strong>Step 5:</strong>Simplify the fraction by finding the<a>greatest common divisor</a>of 9 and 99, which is 9: 9/99 = 1/11</p>
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<p><strong>Step 5:</strong>Simplify the fraction by finding the<a>greatest common divisor</a>of 9 and 99, which is 9: 9/99 = 1/11</p>
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<p><strong>Thus, 0.090909 can be written as a fraction 1/11.</strong></p>
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<p><strong>Thus, 0.090909 can be written as a fraction 1/11.</strong></p>
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<h2>Important Glossaries for 0.090909 as a Fraction</h2>
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<h2>Important Glossaries for 0.090909 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 a digit or group of digits repeats infinitely. </li>
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<li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats 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>