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 $1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}$

Solution:

Given, Jessica used $\frac{2}{3}$ yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with $1\frac{3}{4}$ yards of fabric, and why?

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

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

$\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}$

We know that,

$2 \frac{5}{8}>2$ so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of $1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}$

So 1st option is correct