Answer:
[tex]4\frac{1}{6}\ cups[/tex]
Step-by-step explanation:
we know that
The recipe calls for 1 2/3 of sugar
To make 2 1/2 times the recipe
Multiply 2 1/2 by 1 2/3
Convert mixed numbers to an improper fraction
[tex]1\frac{2}{3}=\frac{1*3+2}{3}=\frac{5}{3}\ cups[/tex]
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
so
[tex]\frac{5}{2}(\frac{5}{3})=\frac{25}{6}\ cups[/tex]
Convert to mixed number
[tex]\frac{25}{6}=\frac{24}{6}+\frac{1}{6}=4\frac{1}{6}\ cups[/tex]