Answer
estimate - 17
exact - 17$\frac{1}{12}$
Work Step by Step
31$\frac{3}{4}$ - 14$\frac{2}{3}$
Estimate : 31$\frac{3}{4}$ round to 32
14$\frac{2}{3}$ round to 15
So subtract 32 – 15 = 17 is the estimate answer
Exact : 31$\frac{3}{4}$ - 14$\frac{2}{3}$
The least common multiple of 4 and 3 is 12. Rewrite all the fractions as fractions with a least common denominator of 12
Rewrite as like fraction
31$\frac{3}{4}$ - 14$\frac{2}{3}$ = 31$\frac{9}{12}$ - 14$\frac{8}{12}$
Subtract : 31$\frac{9}{12}$ - 14$\frac{8}{12}$
Subtraction of the whole number is 17 and Subtraction of the fraction is $\frac{1}{12}$
= 17$\frac{1}{12}$
The estimate was 17, so the exact answer of 17$\frac{1}{12}$is reasonable
