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Lucy is a dress maker. She sews 4 7 7 4 ​ start fraction, 4, divided by, 7, end fraction of a dress in 3 4 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? Include fractions of dresses if applicable.

User Emroussel
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1 Answer

5 votes

Answer:


(16)/(21) of a dress

Explanation:

For illustration

If in 3 hours, I sew 6 clothes

In 1 hour, I would sew (6/3) clothes.

Using the same analogy:

In
(3)/(4) hours, Lucy sews
(4)/(7) of a dress.

In 1 hour, Lucy will sew
((4)/(7) / (3)/(4)) dresses

To simplify
(4)/(7) / (3)/(4) , We change the division sign to multiplication by taking the inverse of the fraction after the division sign.i.e.
(3)/(4)


(4)/(7) / (3)/(4)=(4)/(7) X (4)/(3)=(16)/(21)

In 1 hour, Lucy sews
(16)/(21) of a dress.

User Mahmoud Ali
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