How do you solve #\frac { 15} { 27} = 5/x#?

2 Answers
256
Jan 9, 2018

#x=9#

Explanation:

#15/27=5/x#

#<=># Cross Multiply

#15x=5(27)#

#<=># Divide Both Sides by #15#

#x=(5(27))/15#

then since #15=5(3)# we can say

#x=(5(27))/(5(3))=27/3=9#

Soul of Fire
Jan 9, 2018

#x = 9#

Explanation:

You first multiply both numbers so that the numerators are the same, so you multiply #5/x# by #3# to turn the equation into #15/27 = 15/(3x)#. Now you can remove the #15#'s from the equation to get #27 = 3x#. You divide both sides by #3# to get #9 = x#. Thus, x is #9#.

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