Question

Lia wants to estimate 4 1/7 x 3 3/5 To estimate, she simplifies the expression 4 x 3 1/2 .

Is Lia’s estimate a close estimate, an underestimate, or an overestimate?

A.underestimate

B.overestimate

C.close estimate

Answer 1

Given:
4 1/7 * 3 3/5

4 1/7 = (4*7)+1/7 = 29/7
3 3/5 = (3*5)+3/5 = 18/5

29/7 * 18/5 = 29 * 18 / 7 * 5 = 522 / 35 = 14.91

Simplified expression.
4 x 3 1/2

3 1/2 = (3*2)+1/2 = 7/2

4 * 7/2 = 4*7 / 2 = 28 / 2 = 14

It is a close estimate. Actual: 14.91 vs Estimate: 14