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

`(4)/(15)` of the pizza has both pepperoni and onions.

Explanation:

As we know,
`(2)/(5)` of the pizza has pepperoni and
`(1)/(3)` of it is onions.

1. Find the total of the two fractions above.

`(2)/(5)` +
`(1)/(3)`

=
`(6)/(15)` +
`(5)/(15)` (because you have to find like denominators when you add)

=
`(11)/(15)`

`(11)/(15)` of the pizza have one topping.

2. Subtract
`(11)/(15)` from the whole.

The whole is 1, or
`(15)/(15)`. So,

`(15)/(15)` -
`(11)/(15)` =
`(4)/(15)`.

`(4)/(15)` of the pizza have both pepperoni and onions.