How do you simplify #\frac { 1} { 3x } + \frac { 7} { 6}#?

1 Answer
smendyka
Jun 15, 2018

See a solution process below:

Explanation:

To add fractions the must be over common denominators. We first can multiply each fraction by the appropriate form of #1# to put them over common denominators:

#1/(3x) + 7/6 =>#

#(2/2 xx 1/(3x)) + (x/x xx 7/6) =>#

#(2 xx 1)/(2 xx 3x) + (x xx 7)/(x xx 6) =>#

#2/(6x) + (7x)/(6x)#

We can now add the numerators over the common denominators:

#2/(6x) + (7x)/(6x) =>#

#(2 + 7x)/(6x)#

Or

#(7x + 2)/(6x)#

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