How do you solve #\frac{x - 6}{9} = \frac{4}{3}#?

1 Answer
S.S
Sep 23, 2016

# x = 18 #

Explanation:

The first step when dealing with fractions is to try to get rid of them.
We can do that in this case by making the denominators of both fractions the same - the denominator is the bottom half of the fraction.

First we multiply the top and bottom of #4/3# by #3#

#(x-6)/9 = 4/3#

#(x-6)/9 = 12/9#

Now we can multiply both sides of the equation by #9#

#x-6 = 12#

Then we add #6# to both sides

#x-6+6 = 12 + 6#

Which is the same as

#x = 18#

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