Question

A cookie factory uses 3/8 of a bag of flour in each batch of cookies. The factory used 3/4 of abag of flour yesterday. How many batches of cookies did the factory make?Write your answer as a fraction or as a whole or mixed number.

Answer 1

The problem says for each batch of cookies, the factory uses 3/8 of a bag o flour.

Yesterday they used 3/4 of a bag.

Let's convert the fraction to x/8 as follows:

$\begin{gathered} \frac{3}{4}\text{ initial fraction} \\ \text{Multiply the numerator and denominator by 2 each one:} \\ \frac{3\times2}{4\times2}=\frac{6}{8} \end{gathered}$

3/4 is equivalent to 6/8, then the factory used yesterday 6/8 of flour. If each batch needs 3/8 of a bag of flour, then let's find how many batches the factory made yesterday:

$\begin{gathered} \frac{6}{8}\times\frac{1}{\frac{3}{8}}=\frac{6\times8}{8\times3} \\ \text{Simplify} \\ \frac{6\times8}{8\times3}=\frac{6}{3}=2 \end{gathered}$

Thus, the factory made 2 batches of cookies yesterday.