Question

A cookie factory uses 1 2/5 barrels of oatmeal in each batch of cookies. The factory used8 2/5 barrels of oatmeal 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

We know that the cookie factory uses 1 2/5 barrels of oatmeal in each batch of cookies. And, the factory used

8 2/5 barrels of oatmeal yesterday.

In order to find how many batches of cookies the factory made we must divide the barrels of oatmeal used yesterday by the barrels of oatmeal that are used in each batch of cookies

First, we must convert mixed numbers in fractions

$1\frac{2}{5}=\frac{1\cdot5+2}{5}=\frac{7}{5}$$8\frac{2}{5}=\frac{8\cdot5+2}{5}=\frac{42}{5}$

Then, we must divide them

$\frac{\frac{42}{5}}{\frac{7}{5}}=\frac{42}{7}=6$

Finally, the factory make 6 batches.