Question

1. a pitcher holds $\frac{3}{4}$ of a gallon of lemonade. if each cup holds $\frac{1}{8}$ of a gallon, how many cups can be filled?

6 cups
8 cups
12 cups
4 cups

Explanation:

Step1: Identify the division operation

We need to divide the total amount of lemonade in the pitcher by the amount in each cup. So the operation is $\frac{3}{4}\div\frac{1}{8}$.

Step2: Use the rule of dividing fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{4}\div\frac{1}{8}=\frac{3}{4}\times\frac{8}{1}$.

Step3: Perform the multiplication

$\frac{3}{4}\times\frac{8}{1}=\frac{3\times8}{4\times1}=\frac{24}{4} = 6$.

Answer:

6 cups