One-fourth the difference between 2/3 and 1/2?

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Answer 1 · 2018-02-20T13:06:33

See a solution process below:

First, we need to find the difference between #2/3# and #1/2#

We can write this as:

#2/3 - 1/2#

To subtract fractions we must put them over a common denominator:

#(2/3 xx 2/2) - (1/2 xx 3/3) #

#=> (2 xx 2)/(3 xx 2) - (1 xx 3)/(2 xx 3) #

#=> 4/6 - 3/6 #

#=> (4 - 3)/6 #

#=> 1/6#

In a word problem with fractions like this the word "of" means to multiply, so we can calculate the result as:

#1/4 xx 1/6 => (1 xx 1)/(4 xx 6) => 1/24#