Question

Avery is making pizzas for a pizza party. Each pizza requires start fraction, 3, divided by, 4, end fraction
4
3
​
pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.

Answer 1

To find out how many pounds of cheese Avery needs to make 19 pizzas, we multiply the amount of cheese needed for one pizza by the number of pizzas.

Each pizza requires \( \frac{3}{4} \) pounds of cheese. Therefore, for 19 pizzas, the total amount of cheese required is:

\[
19 \times \frac{3}{4}
\]

To calculate this, we can multiply the whole number by the fraction:

\[
19 \times \frac{3}{4} = \frac{19 \times 3}{4} = \frac{57}{4}
\]

Now, we can write \( \frac{57}{4} \) in simplest form. Since \( 57 \) and \( 4 \) have no common factors besides \( 1 \), \( \frac{57}{4} \) is already in its simplest form.

To express this as a mixed number, we divide \( 57 \) by \( 4 \):

\[
57 \div 4 = 14 \quad \text{(remainder 1)}
\]

So, \( \frac{57}{4} \) can be expressed as:

\[
14 \frac{1}{4}
\]

Thus, the total amount of cheese needed to make 19 pizzas is:

\[
\boxed{\frac{57}{4}} \text{ pounds} \quad \text{or} \quad 14 \frac{1}{4} \text{ pounds}
\]