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2026-01-01
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2026-02-28
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<p>321 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, 1.09090909091. 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, 1.09090909091. We are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 1.09090909091 as a Fraction?</h2>
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<h2>What is 1.09090909091 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 1.09090909091 as a<a>fraction</a>will be 12/11.</p>
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<p>The answer for 1.09090909091 as a<a>fraction</a>will be 12/11.</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<a>decimal</a>to a fraction is a task for students that can be done easily. 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 is a task for students that can be done easily. 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 of the decimal. In this case, 0.090909... is the repeating part. Let x = 1.090909...</p>
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<p><strong>Step 1:</strong>Identify the repeating part of the decimal. In this case, 0.090909... is the repeating part. Let x = 1.090909...</p>
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<p><strong>Step 2:</strong>Multiply x by 100 (since the repeating part has 2 digits) to move the decimal point: 100x = 109.090909...</p>
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<p><strong>Step 2:</strong>Multiply x by 100 (since the repeating part has 2 digits) to move the decimal point: 100x = 109.090909...</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new one to eliminate the repeating part: 100x - x = 109.090909... - 1.090909... 99x = 108</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>from this new one to eliminate the repeating part: 100x - x = 109.090909... - 1.090909... 99x = 108</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 99: x = 108/99</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 99: x = 108/99</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing both the<a>numerator and denominator</a>by their<a>greatest common divisor</a>(GCD), which is 9: 108/99 = 12/11</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing both the<a>numerator and denominator</a>by their<a>greatest common divisor</a>(GCD), which is 9: 108/99 = 12/11</p>
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<p><strong>Thus, 1.09090909091 can be written as a fraction 12/11.</strong></p>
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<p><strong>Thus, 1.09090909091 can be written as a fraction 12/11.</strong></p>
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<h2>Important Glossaries for 1.09090909091 as a Fraction</h2>
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<h2>Important Glossaries for 1.09090909091 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>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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<li><strong>Repeating Decimal:</strong>A decimal where one or more digits repeat infinitely.</li>
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<li><strong>Repeating Decimal:</strong>A decimal where one or more digits repeat infinitely.</li>
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</ul>
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</ul>