Question

Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?

Answer 1

Option 1

Jessica can make 2 scarves

yes, because the quotient of
`1 (3)/(4) / (2)/(3) \text { is } 2 (5)/(8)`

Solution:

Given, Jessica used
`(2)/(3)` yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with
`1(3)/(4)` yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

`\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}`

`\begin{array}{l}{=(1 (3)/(4))/((2)/(3))=1 (3)/(4) * (3)/(2)} \\\\ {=(4 * 1+3)/(4) * (3)/(2)} \\\\ {=(16+5)/(8)=2 (5)/(8)}\end{array}`

We know that,

`2 (5)/(8)>2` so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of
`1 (3)/(4) / (2)/(3) \text { is } 2 (5)/(8)`

So 1st option is correct