Answer:
Yes, she can make 2 scarves of length [tex]\frac{2}{3}[/tex] yards.
Step-by-step explanation:
Jessica used [tex]\frac{2}{3}[/tex] yard of fabric to make a scarf.
Now she has a fabric of length [tex]1\frac{3}{4}[/tex] yards = [tex]\frac{7}{4}[/tex] yards.
We have to find whether she can make 2 scarves or not.
∵ [tex]\frac{2}{3}[/tex] yards fabric is used to make scarf = 1
∴ 1 yard fabric is used to make scarf = [tex]\frac{1}{\frac{2}{3}}[/tex] = [tex]\frac{3}{2}[/tex]
∴ [tex]\frac{7}{4}[/tex] yard fabric is used to make scarf = [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{4}[/tex]
[tex]\frac{21}{8}[/tex] ≈ [tex]2\frac{5}{8}[/tex]
Now we can say that she can make 2 scarves of length [tex]\frac{2}{3}[/tex] yards.