Question #39c90

1 Answer
Oct 18, 2017

100

Explanation:

Let's explore two ways to solve this.

First we will use the property of fractions that when you divide by a fraction it is the same as multiplying by the inverse of that fraction. i.e.:

#A div B/C = A xx C/B#

Which in our case gives us:

#25 div 1/4 = 25 xx 4/1= 25 xx 4 = 100#
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Second let's do the divisions. First let's divide 1 by 4.

#1 /4=0.25#

which then gets us:

#25/0.25#

Multiplying top and bottom by 100 we get:

#2500/25#

finally we divide top and bottom by 25

#cancel(2500)^100/cancel25^1=100#