How do you multiply a fraction with a mixed number?

Answer 1

First, convert the mixed number to a fraction. To do this, multiply the whole number part of the mixed number by the denominator of the fraction part of the mixed number and add this to the numerator. This number over the denominator is the converted mixed number. For example, 4 3/4 converts to 19/4, because (4 x 4) + 3 = 16 + 3 = 19.

Then, multiply the two fractions together, multiplying the numerators together and the denominators together. For example, 5/7 x 8/3 = (5 x 8)/(7 x 3) = 24/21.

Finally, reduce the resulting fraction if possible. In the above example, 24/21 can be reduced to 8/7 and then converted to mixed number 1 1/7.

Here is an example from start to finish:

4/7 x 3 1/16

Convert 3 1/16 to ((3 x 16) +1)/16 = (48 + 1)/16 = 49/16

Multiply both fractions 4/7 x 49/16 = 196/112

Reduce the result 196/112 becomes 7/4 and then 1 3/4