How do you solve and check your solution given 3 3/4+n=6 5/8?

1 Answer
Apr 11, 2017

n=23/8=2 7/8

Explanation:

First it would be useful to turn your fractions into improper fractions. This is so you can add and subtract them easily.

" "3 3/4+n=6 5/8

[1]" "15/4+n=53/8

Now your goal is to only have n on one side. We will do this by subtracting 15/4 from both sides.

[2]" "15/4+n-15/4=53/8-15/4

You may cancel 15/4 on the right side now, since 15/4-15/4=0.

[3]" "n=53/8-15/4

You can simplify this further by combining 53/8 and 15/4. But you will first need to make sure they have the same denominator. So multiply 15/4 by 2/2. This is valid because 2/2=1. Once you do this, both fractions will now have the same denominator.

[4]" "n=53/8-(15/4)(2/2)

[5]" "n=53/8-30/8

[6]" "n=(53-30)/8

[7]" "color(blue)(n=23/8=2 7/8)