What fraction lies exactly halfway between 2/3 and 3/4? | MathCelebrity Forum

What fraction lies exactly halfway between 2/3 and 3/4?

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What fraction lies exactly halfway between 2/3 and 3/4?

A) 3/5
B) 5/6
C) 7/12
D) 9/16
E) 17/24

Halfway means taking the average, which is dividing the sum of the fractions by 2 for 2 fractions:

1/2(2/3 + 3/4)
1/2(2/3) + 1/2(3/4)
1/3 + 3/8

We need common denominators, so we type this fraction sum into our search engine and get:
17/24 - Answer E
 
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