How do you evaluate #3/4 + 1/3 + 1/2#?

1 Answer
NJ
Jun 6, 2018

#=>19/12#

Explanation:

The fractions need to be expressed with a common denominator. There a few ways to obtain one, the easiest being to multiply all denominators together and multiplying each fraction by some expression equivalent to #1#, as this prevents the expression from changing.

#3/4 + 1/3 + 1/2#

#=3/4*3/3*2/2 + 1/3*4/4*2/2 + 1/2*4/4*3/3#

#=18/24 + 8/24 + 12/24#

#= 38/24#

#=19/12#

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