A cookie factory uses $\frac{1}{4}$ of a bag of flour in each batch of cookies. The factory used $\frac{3}{4}$ of a bag of flour yesterday. How many batches of cookies did the factory make? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_$ batches

Full solution

Q. A cookie factory uses

\frac{1}{4}

of a bag of flour in each batch of cookies. The factory used

\frac{3}{4}

of a bag of flour yesterday. How many batches of cookies did the factory make?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_

batches

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the first number: $\frac{3}{4} \div \frac{1}{4}$ becomes $\frac{3}{4} \times \frac{4}{1}$ .
Multiply numerators and denominators: Multiply the numerators and the denominators: $\newline$ $(3 \times 4) / (4 \times 1) = 12/4$ .
Simplify the fraction: Simplify the fraction: $\frac{12}{4} = 3$ .