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

The first thing you should do for this case is to solve the problem by applying a simple three rule like the following
4/7 ---> 3/4
x ----> 1
clearing x we have the amount of dresses Lucy sews in an hour:
x = (1 / (3/4)) * (4/7)
x = (4/3) * (4/7) = 16/21
answer
lucy sew 16/21 dresses in one hour