Question

Hilary has a ribbon that is 6 2/3 feet long. She cuts the ribbon into equal pieces that are each 5/6 foot long. How many 5/6 foot long pieces can Hilary cut from the ribbon

Answer 1

8 pieces

Step-by-step explanation

We have that the ribbon is 6 2/3 feet long.

She cuts equal pieces of length 5/6.

To find how many pieces she can cut, we have to divide the total length of the original ribbon by the length of the pieces she cut.

First, convert the mixed fraction 6 2/3 to improper fraction:

`6(2)/(3)\text{ = }(20)/(3)`

So, the number of pieces she can cut is:

`\begin{gathered} ((20)/(3))/((5)/(6)) \\ \Rightarrow\text{ }(20)/(3)\cdot(6)/(5) \\ =\text{ }(120)/(15)\text{ = 8} \end{gathered}`

She can cut 8 pieces from the ribbon.