Find the number that is 3/4 of the wat from 3 1/5 to 5 2/3

Question

Find the number that is 3/4 of the wat from 3 1/5 to 5 2/3

(A) 101/20

(B) 37/15

(C) 4 17/20

(D) 37/20

(E) none of the above

Answer 1

5 2/3 - 3 1/5 = 17/3 -16/5 = 85/15 - 48/15 = 37/15

3/4 x 37/15 = 111/60

3 1/5 + 111/60 = 16/5 + 111/60= 192/60 -+111/60 = 303/60 = 101/20

A) look right

try it another way with decimals

3 1/5 = 3.2

5 2/3 = 5.666...

5.666 - 3.2 = 2.4666

3/4 = .75

.75 x 2.4666 = 1.85

3.2 + 1.85 = 5.05

101/20 = 5.05

A) is correct