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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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Verified Answer :

MissPhiladelphia

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.

jennycrapson

\(\frac{3}{5} \frac{2}{5}\)

To divide by a fraction, multiply by its reciprocal.

\(\frac{3}{5} \frac{5}{2}\)

Cancel the common factor of 5

.

Tap for more steps...

\(\frac{3}{1} \frac{1}{2}\)

Multiply

\(\frac{1}{3} and \frac{1}{2}\)

.

\(\frac{3}{2}\)

To divide by a fraction, multiply by its reciprocal.

\(\frac{3}{5} \frac{5}{2}\)

Cancel the common factor of 5

.

Tap for more steps...

\(\frac{3}{1} \frac{1}{2}\)

Multiply \(\frac{3}{1}\)

and \(\frac{1}{2}\)

.

\(\frac{3}{2}\)

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

Exact Form:

\(\frac{3}{2}\)

Decimal Form:

1.5

Mixed Number Form:

\(1\frac{1}{2}\)


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