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A mixed number is a whole number plus a fraction, so when dividing into it, both the whole number and the fraction are divided by the divisor.

When working with mixed numbers is it (almost) always much easier to convert them to improper fractions first, do the operation(s) and convert any resulting improper fraction to a mixed number.

To convert a mixed number to an improper fraction multiply the whole number by the denominator and add the numerator to form the new numerator and keep the denominator the same.

eg 3 4/7 = (3x7 + 4)/7 = 25/7

To convert an improper fraction to a mixed number divide the numerator by the denominator to get a whole number quotient and a remainder. The whole number is the whole number and the remainder is the numerator over the original denominator.

eg 25/7 → 25 ÷ 7 = 3 r 4 → 25/7 = 3 4/7

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Q: When you are dividing a mixed number do you dividee the whole number?
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