How do you simplify #11/12 - 2/3#?

1 Answer
smendyka
Feb 8, 2017

See the entire simplification process below:

Explanation:

First, we need to get both fractions over a common denominator. In this case a common denominator is #12# therefore we only need to adjust the fraction on the right:

#11/12 - 2/3 -> 11/12 - (4/4 xx 2/3) -> 11/12 - 8/12 -> 3/12 ->#

#(3 xx 1)/(3 xx 4) -> (color(red)(cancel(color(black)(3))) xx 1)/(color(red)(cancel(color(black)(3))) xx 4) -> 1/4#

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