Answer: [tex]\frac{11}{3}\ yards[/tex]
Step-by-step explanation:
Given
Laquita has [tex]5 \frac{7}{9}\ yards[/tex] of fabric i.e.
[tex]\Rightarrow \dfrac{5\times9+7}{9}=\dfrac{45+7}{9}=\dfrac{52}{9}\ yards[/tex]
She used [tex]3\ \frac{2}{3}[/tex] yards to make a blouse i.e.
[tex]\Rightarrow \dfrac{3\times 3+2}{3}=\dfrac{11}{3}\ yards[/tex]
Left fabric
[tex]\Rightarrow \frac{52}{9}-\frac{11}{3}=\frac{52-33}{9}\\\\\Rightarrow \frac{19}{9}\ yards[/tex]
