Question

It takes Audrey 3/5 hour to paint 2/5 square yards of wood to be used for making shelves. How many square yards can she paint in 1 hour? Enter your answer in the box as a fraction in simplest form

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Answer 1

`(3)/(5) (2)/(5)`

To divide by a fraction, multiply by its reciprocal.

`(3)/(5) (5)/(2)`

Cancel the common factor of 5

.

Tap for more steps...

`(3)/(1) (1)/(2)`

Multiply

`(1)/(3) and (1)/(2)`

.

`(3)/(2)`

To divide by a fraction, multiply by its reciprocal.

`(3)/(5) (5)/(2)`

Cancel the common factor of 5

.

Tap for more steps...

`(3)/(1) (1)/(2)`

Multiply
`(3)/(1)`

and
`(1)/(2)`

.

`(3)/(2)`

The result can be shown in both exact and decimal forms.

Exact Form:

`(3)/(2)`

Decimal Form:

1.5

Mixed Number Form:

`1(1)/(2)`

Answer 2

First, you formulate a ratio of Audrey's work time to work done. In this case, 3/5 hour : 2/5 square yards. Expressing and simplifying that into a fraction would yield:

3/5 ÷ 2/5 = 3/5 * 5/2 = 3/2

We use this ratio to determine the sq yards she could paint in an hour:

1 hour * (1/(3/2) = 2/3 square yards

I hope I was able to help you with this question. Have a good day.