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2026-01-01
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2026-02-28
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<p>233 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 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, 2/3, the numbers in decimal are expressed with a decimal point (.), For example, 6.6666666667, 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 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, 2/3, the numbers in decimal are expressed with a decimal point (.), For example, 6.6666666667, we are going to learn how to convert a repeating decimal to a fraction.</p>
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<h2>What is 6.6666666667 as a Fraction?</h2>
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<h2>What is 6.6666666667 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 6.6666666667 as a<a>fraction</a>will be approximately 20/3.</p>
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<p>The answer for 6.6666666667 as a<a>fraction</a>will be approximately 20/3.</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 systematic 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 a systematic approach. You can follow the steps mentioned below to find the answer.</p>
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<p><strong>Step 1:</strong>Let x = 6.6666666667. Since 6.6666666667 is a repeating decimal (6.6 recurring), you can express it as x = 6.666...</p>
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<p><strong>Step 1:</strong>Let x = 6.6666666667. Since 6.6666666667 is a repeating decimal (6.6 recurring), you can express it as x = 6.666...</p>
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<p><strong>Step 2:</strong>Multiply both sides<a>of</a>the<a>equation</a>by 10 (since there is one repeating decimal place) to eliminate the repeating part and form an equation: 10x = 66.666...</p>
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<p><strong>Step 2:</strong>Multiply both sides<a>of</a>the<a>equation</a>by 10 (since there is one repeating decimal place) to eliminate the repeating part and form an equation: 10x = 66.666...</p>
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<p><strong>Step 3:</strong>Now subtract the original equation (x = 6.666...) from this equation to remove the repeating part: 10x - x = 66.666... - 6.666... 9x = 60</p>
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<p><strong>Step 3:</strong>Now subtract the original equation (x = 6.666...) from this equation to remove the repeating part: 10x - x = 66.666... - 6.666... 9x = 60</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 60/9</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9: x = 60/9</p>
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<p><strong>Step 5:</strong>Simplify the fraction by finding the GCD of 60 and 9, which is 3: 60/9 = 20/3</p>
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<p><strong>Step 5:</strong>Simplify the fraction by finding the GCD of 60 and 9, which is 3: 60/9 = 20/3</p>
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<p><strong>Thus, 6.6666666667 can be written approximately as a fraction 20/3.</strong></p>
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<p><strong>Thus, 6.6666666667 can be written approximately as a fraction 20/3.</strong></p>
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<h2>Important Glossaries for 6.6666666667 as a Fraction</h2>
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<h2>Important Glossaries for 6.6666666667 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>