Question

Gary has a bag that contains 2 7/16 cubic feet of mulch. If he uses 8/9 of the bag of mulch how much did he use? Write the answer as a fraction.

Answer 1

Given the bag contains mulch at a amount of,

`2(7)/(16)`

Used fraction of mulch is,

`(8)/(9)`

To find the amount of mulch used.

At first we need to convert the given improper fraction into proper fraction. so we get,

`\begin{gathered} 2(7)/(16)=(2*16+7)/(16) \\ \text{ =}(39)/(16) \end{gathered}`

So to find the amount of mulch used, we multiply the fraction used with the total amount of mulch.

`\begin{gathered} (8)/(9)*(39)/(16)=(1)/(9)*(39)/(2) \\ \text{ =}(1)/(3)*(13)/(2) \\ \text{ =}(13)/(6) \end{gathered}`

So the amount of mulch used is,

`(13)/(6)`