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 = $\dfrac{1}{3}$ yard

She wants to divide the rest of the ribbon into $\dfrac{1}{6}$ yard pieces.

To find:

The number of  $\dfrac{1}{6}$ yard pieces of ribbon she can make.

Solution:

Total ribbon beth had = 1 yard

Ribbon used for project = $\dfrac{1}{3}$ yard

Remaining ribbon is

$1-\dfrac{1}{3}=\dfrac{2}{3}$

She wants to divide the rest of the ribbon into $\dfrac{1}{6}$ yard pieces.

Let the number of  $\dfrac{1}{6}$ yard pieces of ribbon she can make be x.

$\dfrac{1}{6}x=\dfrac{2}{3}$

Multiply both sides by 6.

$\dfrac{1}{6}x\times 6=\dfrac{2}{3}\times 6$

$x=2\times 2$

$x=4$

Therefore, number of  $\dfrac{1}{6}$ yard pieces of ribbon she can make is 4.