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Original
2026-01-01
Modified
2026-02-28
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<h3>Answer:</h3>
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<h3>Answer:</h3>
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<p>The answer for 0.888888889 as a<a>fraction</a>will be 8/9.</p>
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<p>The answer for 0.888888889 as a<a>fraction</a>will be 8/9.</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 easily by following these steps.</p>
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<p>Converting a repeating<a>decimal</a>to a fraction can be done easily by following these steps.</p>
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<p><strong>Step 1:</strong>Let x = 0.888888889. Since the decimal repeats every 9 digits, multiply x by 1,000,000,000 to shift the decimal point: 1,000,000,000x = 888,888,889.0</p>
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<p><strong>Step 1:</strong>Let x = 0.888888889. Since the decimal repeats every 9 digits, multiply x by 1,000,000,000 to shift the decimal point: 1,000,000,000x = 888,888,889.0</p>
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<p><strong>Step 2:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating decimal: 1,000,000,000x - x = 888,888,889.0 - 0.888888889 999,999,999x = 888,888,888.111111111</p>
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<p><strong>Step 2:</strong>Subtract the original<a>equation</a>from this new equation to eliminate the repeating decimal: 1,000,000,000x - x = 888,888,889.0 - 0.888888889 999,999,999x = 888,888,888.111111111</p>
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<p><strong>Step 3:</strong>Solve for x by dividing both sides by 999,999,999: x = 888,888,888.111111111 / 999,999,999</p>
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<p><strong>Step 3:</strong>Solve for x by dividing both sides by 999,999,999: x = 888,888,888.111111111 / 999,999,999</p>
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<p><strong>Step 4:</strong>Simplify the fraction. The GCD of 888,888,888 and 999,999,999 is 111,111,111. 888,888,888 / 999,999,999 = 8/9</p>
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<p><strong>Step 4:</strong>Simplify the fraction. The GCD of 888,888,888 and 999,999,999 is 111,111,111. 888,888,888 / 999,999,999 = 8/9</p>
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<p>Thus, 0.888888889 can be written as a fraction 8/9.</p>
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<p>Thus, 0.888888889 can be written as a fraction 8/9.</p>
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