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To convert an improper fraction to a mixed number, follow these steps:
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Divide the numerator by the denominator to get the quotient (whole number part) and the remainder.
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The whole number part becomes the integer part of the mixed number.
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The remainder becomes the new numerator, and the original denominator becomes the new denominator for the fractional part of the mixed number.
Here’s an example:
Convert the improper fraction 17/5 to a mixed number.
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Divide 17 by 5:
17 ÷ 5 = 3 with a remainder of 2
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The whole number part is 3, so the mixed number will have an integer part of 3.
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The remainder is 2, so the new numerator is 2. The original denominator was 5, so the new denominator is also 5.
Therefore, the improper fraction 17/5 can be expressed as the mixed number 3 2/5