Question

Beth had 1 yard of ribbon. She used 1_ 3 yard for a project. She wants to divide the rest of the ribbon into 1_ 6 yard pieces. How many 1_ 6 yard pieces of ribbon can she make? Explain your solution.

Answer 1

Given:

Total ribbon beth had = 1 yard

Ribbon used for project =
`(1)/(3)` yard

She wants to divide the rest of the ribbon into
`(1)/(6)` yard pieces.

To find:

The number of
`(1)/(6)` yard pieces of ribbon she can make.

Solution:

Total ribbon beth had = 1 yard

Ribbon used for project =
`(1)/(3)` yard

Remaining ribbon is

`1-(1)/(3)=(2)/(3)`

She wants to divide the rest of the ribbon into
`(1)/(6)` yard pieces.

Let the number of
`(1)/(6)` yard pieces of ribbon she can make be x.

`(1)/(6)x=(2)/(3)`

Multiply both sides by 6.

`(1)/(6)x* 6=(2)/(3)* 6`

`x=2* 2`

`x=4`

Therefore, number of
`(1)/(6)` yard pieces of ribbon she can make is 4.