Question

Lucy is a dress maker. She sews \dfrac47 7 4 ​ start fraction, 4, divided by, 7, end fraction of a dress in \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction hour. Lucy sews at a constant rate. At this rate, how many dresses does Lucy sew in one hour?

Answer 1

16/21

Explanation:

Answer 2

16/21

Explanation:

She sews 4/7 of a dress in 3/4 of an hour. To find the number of dresses she sews in 1 hour, divide by 3/4:

4/7 ÷ 3/4

To divide fractions, multiply by the reciprocal:

4/7 × 4/3

Multiply straight across:

(4×4)/(7×3) = 16/21