Question

Emma's Restaurant uses 4 3/4 pounds of potatoes in each batch of stew. How many pounds of potatoes will the restaurant use in 4 batches?

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

pounds

Answer 1

To find out how many pounds of potatoes Emma's Restaurant will use in 4 batches of stew, we need to multiply the amount of potatoes used in each batch by the number of batches.

The amount of potatoes used in each batch is \(4 \frac{3}{4}\) pounds.

First, we convert this mixed number into an improper fraction:

\[
4 \frac{3}{4} = 4 \times 4 + 3 = 16 + 3 = 19
\]

So, \(4 \frac{3}{4} = \frac{19}{4}\) pounds per batch.

Now, we multiply this by the number of batches, which is 4:

\[
4 \times \frac{19}{4}
\]

The \(4\) can be expressed as \(\frac{4}{1}\):

\[
4 \times \frac{19}{4} = \frac{4 \times 19}{4 \times 1} = \frac{76}{4}
\]

Now we simplify \(\frac{76}{4}\):

\[
\frac{76}{4} = 19
\]

Thus, the restaurant will use **19 pounds** of potatoes in 4 batches.