Option 1
Jessica can make 2 scarves
yes, because the quotient of [tex]1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}[/tex]
Solution:
Given, Jessica used [tex]\frac{2}{3}[/tex] yard of fabric to make a scarf.
We have to find can she make 2 of these scarves with [tex]1\frac{3}{4}[/tex] yards of fabric, and why?
Now, let us find number of scarves that can be made from available scarf
[tex]\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}[/tex]
[tex]\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}[/tex]
We know that,
[tex]2 \frac{5}{8}>2[/tex] so we can make 2 scarves.
Hence, yes, we can make 2 scarves because quotient of [tex]1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}[/tex]
So 1st option is correct
