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It is convenient to convert both mixed fractions into improper fractions (numerator larger than denominator). To divide, multiply using the reciprocal of the divisor.

Example:

To divide 53/5 by 42/3 :

Changing the mixed numbers to improper fractions gives the division

28/5 divided by 14/3

To divide by a fraction, you can invert its values (multiply by the reciprocal), giving

28/5 x 3/14

Multiply the numerators 28 x 3 = 84 and the denominators 5 x 14 = 70

The answer is 84/70 which reduces to 1 14/70 or 1 1/5

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Q: How do you divide a mixed number by a mixed number?
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