The denominator of a fraction is three more than twice the numerator. If both the numerator and denominator are decreased by one, the simplified result is 7/16. Find the original fraction

Too long didn't read: answer is 15/33

x / (2x+3)

(X-1) / (2x+3-1) - - > (2x+2)

(X-1) / (2x+2) = 7/16

It says "simplified result is 7/16"

So what is equal to 7/16 not simplified?

You can try multiplying it by 2 (just an unsimplified version of 7/16)

14/32

So (x-1) / (2x+2) = 14/32

Now test it.

X-1 corresponds with 14, so:

X-1=14

X=14+1

X=15

2x+2 corresponds with 32, so:

2*15=30

30+2=32

This proves that they're equal, so x=15. However, you don't want what x is equal to, don't get mixed up. You want the original fraction.

Now simply use the original equation and plug in 15's

X / (2x+3)

X=15, therefore

X / (2x+3) = 15/33

Too long didn't read: answer is 15/33