Answer:
[tex]2\frac{5}{6}\ cups[/tex]
Step-by-step explanation:
To find out how many cups of flour Keith has left
Subtract [tex]5\frac{2}{3}[/tex] cups from [tex]8\frac{1}{2}[/tex] cups
Convert to an improper fractions first
[tex]5\frac{2}{3}=5+\frac{2}{3}=\frac{5*3+2}{3}=\frac{17}{3}[/tex]
[tex]8\frac{1}{2}=8+\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}[/tex]
so
[tex]\frac{17}{2}-\frac{17}{3}=\frac{17*3-17*2}{6}=\frac{17}{6}\ cups[/tex]
convert to mixed number
[tex]\frac{17}{6}=\frac{12}{6}+\frac{5}{6}=2+\frac{5}{6}=2\frac{5}{6}\ cups[/tex]
