Question

Cindi bought a sheet pizza for a party. Some of the pizza has pepperoni, some has onions, and the rest of it has both. Two-fifths of the pizza has just pepperoni and one-third of the pizza has just onions. What fraction of the pizza has both pepperoni and onions? PLEASE ANSWER ASAP

Answer 1

Answer:

$\frac{4}{15}$ of the pizza has both pepperoni and onions.

Step-by-step explanation:

As we know, $\frac{2}{5}$ of the pizza has pepperoni and $\frac{1}{3}$ of it is onions.

1. Find the total of the two fractions above.

$\frac{2}{5}$ + $\frac{1}{3}$

= $\frac{6}{15}$ + $\frac{5}{15}$     (because you have to find like denominators when you add)

= $\frac{11}{15}$

$\frac{11}{15}$ of the pizza have one topping.

2. Subtract $\frac{11}{15}$ from the whole.

The whole is 1, or $\frac{15}{15}$. So,

$\frac{15}{15}$ - $\frac{11}{15}$ = $\frac{4}{15}$.

$\frac{4}{15}$ of the pizza have both pepperoni and onions.