How do you evaluate #-\frac{3}{8}\div -\frac{4}{7}#?

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Answer 1 · 2017-08-10T16:28:43

#21/32#

To divide by a fraction is the same as multiplying by its reciprocal.

For example to divide by #1/2# is the same as multiplying by #2#

#16 div 1/2 = 16 xx 2/1 = 32#

In this case we have # -3/8 div -4/7#

#= + 3/8 xx7/4" "larr# negative x negative = positive

There are no factors to cancel, so multiply straight across:

#(3xx7)/(8xx4) = 21/32#