Step 1. Convert the 10 1/2 cups to a fraction:
[tex]10\frac{1}{2}=\frac{10\times2+1}{2}=\frac{20+1}{2}=\frac{21}{2}[/tex]10 1/2 cups is equal to 21/2 cups
Step 2. Divide the total of cereal in the box 21/2 by the cups per serving:
[tex]\frac{21}{2}\div\frac{3}{4}[/tex]To make this division we follow the rule to divide fractions:
[tex]\frac{a}{b}\div\frac{c}{d}=\frac{a\times d}{b\times c}[/tex]We apply this to our division:
[tex]\frac{21}{2}\div\frac{3}{4}=\frac{21\times4}{2\times3}[/tex]solving the multiplications:
[tex]\frac{21}{2}\div\frac{3}{4}=\frac{84}{6}=14[/tex]How many servings in a box? Answer: 14
