How do you evaluate #7\div \frac { 8} { 16}#?

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Answer 1 · 2017-09-21T03:03:00

#color(blue)(14)#

First reduce the fraction to its lowest terms. This can be done by dividing top and bottom by 8.

#7 -: 1/2#

Notice we can write 7 as #7/1# this does not alter the value of the fraction.

So we have #7/1 -: 1/2#

To divide fractions we turn the divisor upside down and multiply across. The divisor here is #1/2#:

So we have:

#7/1 xx 2/1#

Multiplying:

#(7 xx 2)/( 1 xx 1 )= 14/1# this is just #14#