How do you solve #2/G=8/36#?

2 Answers
May 2, 2018

Answer:

#G = 9#

Explanation:

#2/G = 8/36#

First, simplify the right side of the equation by dividing it by #4#:
#2/G = 8/36 color(blue)(-: 4/4)#

#2/G = 2/9#

Now multiply both sides by #color(blue)(1/2)#:
#2/G color(blue)(xx 1/2) = 2/9 color(blue)(xx 1/2)#

#1/G = 2/18#

Simplify :
#1/G = 1/9#

Since the reciprocal of #G# or #(1/G)# is #1/9#, then we know that #G = 9#.

Hope this helps!

May 2, 2018

Answer:

#G=9#

Explanation:

The biggest issue is that #G# is in the denominator. There are two ways to rectify that.

Invert both sides

This is possible because there is only one fraction on each side.

#2/G = 8/36#

#G/2 = 36/8#

Now multiply both sides by #2# and simplify

#(cancel2xxG)/cancel2 = (cancel2xxcancel36^9)/cancel8_cancel2#

#G = 9#

Cross Multiply

#8G= 2xx36" "larr# no fractions.

#G =(cancel2xxcancel36^9)/cancel8_cancel2#

#G =9#