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Original
2026-01-01
Modified
2026-02-28
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<p>318 Learners</p>
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<p>343 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. Numbers in decimal are expressed with a decimal point (.), such as 3.6666. 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. 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. Numbers in decimal are expressed with a decimal point (.), such as 3.6666. We are going to learn how to convert a decimal to a fraction.</p>
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<h2>What is 3.6666 as a Fraction?</h2>
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<h2>What is 3.6666 as a Fraction?</h2>
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<h3>Answer:</h3>
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<h3>Answer:</h3>
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<p>The answer for 3.6666 as a<a>fraction</a>will be 11/3.</p>
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<p>The answer for 3.6666 as a<a>fraction</a>will be 11/3.</p>
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<h3>Explanation:</h3>
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<h3>Explanation:</h3>
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<p>Converting a repeating<a>decimal</a>to a fraction can be done by following these steps:</p>
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<p>Converting a repeating<a>decimal</a>to a fraction can be done by following these steps:</p>
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<p><strong>Step 1:</strong>Let x = 3.6666...</p>
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<p><strong>Step 1:</strong>Let x = 3.6666...</p>
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<p><strong>Step 2:</strong>Since the decimal repeats every four digits, multiply by 10,000 (10^4) to shift the decimal point: 10000x = 36666.6666...</p>
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<p><strong>Step 2:</strong>Since the decimal repeats every four digits, multiply by 10,000 (10^4) to shift the decimal point: 10000x = 36666.6666...</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 3.6666...) from this new equation: 10000x - x = 36666.6666... - 3.6666... 9999x = 36663</p>
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<p><strong>Step 3:</strong>Subtract the original<a>equation</a>(x = 3.6666...) from this new equation: 10000x - x = 36666.6666... - 3.6666... 9999x = 36663</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9999: x = 36663/9999</p>
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<p><strong>Step 4:</strong>Solve for x by dividing both sides by 9999: x = 36663/9999</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing the<a>numerator</a>and the<a>denominator</a>by their GCD (3333): 36663/9999 = 11/3</p>
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<p><strong>Step 5:</strong>Simplify the fraction by dividing the<a>numerator</a>and the<a>denominator</a>by their GCD (3333): 36663/9999 = 11/3</p>
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<p>Thus, 3.6666 can be written as a fraction 11/3.</p>
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<p>Thus, 3.6666 can be written as a fraction 11/3.</p>
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<h2>Important Glossaries for 3.6666 as a Fraction</h2>
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<h2>Important Glossaries for 3.6666 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>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats infinitely.</li>
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</ul><ul><li><strong>Repeating Decimal:</strong>A decimal in which a digit or group of digits repeats 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><ul><li><strong>Greatest Common Divisor (GCD):</strong>The largest positive integer that divides each of the numbers without a remainder.</li>
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</ul><ul><li><strong>Greatest Common Divisor (GCD):</strong>The largest positive integer that divides each of the numbers without a remainder.</li>
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</ul>
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</ul>