How do you evaluate #15\div \frac{7}{5}#?

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Answer 1 · 2017-10-13T02:37:20

#75/7#

When you divide by a number, you can also think of it as multiplying by its reciprocal. For example:

#6*1/2=3#

The reciprocal of #1/2# is #2#. So:

#6-:2=3#

With this idea in mind, we can rewrite

#15-:7/5#

as

#15*5/7#

#=75/7 = 10+5/7#

Answer 2 · 2017-10-13T02:42:30

Change division to multiplication by the reciprocal, multiply fractions across.

Dividing by a fraction is the same thing as multiplying by its reciprocal (numerator and denominator switch).

We can express this as 15 times #5/7#, and for the sake of simplicity, we can write 15 as #15/1#.

#15/1# * #5/7# = #75/7#

We can change #75/7# to a mixed number by the following:

Final answer: #75/7# or 10#5/7#