Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?

Question

A pizza with 8 slices. 5 slices are shaded.
StartFraction 1 Over 8 EndFraction
StartFraction 1 Over 5 EndFraction
StartFraction 3 Over 8 EndFraction
StartFraction 3 Over 5 EndFraction

Answer 1

Elaine had \(\frac{5}{8}\) of a pizza left after lunch. She shares this amount evenly among 5 friends.

To find out how much pizza each friend gets, we need to divide the remaining pizza by the number of friends. We do this as follows:

\[ \text{Amount per friend} = \frac{\frac{5}{8}}{5} \]

Dividing a fraction by a whole number means multiplying the fraction by the reciprocal of that whole number:

\[ \text{Amount per friend} = \frac{5}{8} \times \frac{1}{5} = \frac{5 \times 1}{8 \times 5} = \frac{5}{40} \]

Now, simplify \(\frac{5}{40}\):

\[ \frac{5}{40} = \frac{1}{8} \]

So, each of Elaine's friends gets \(\frac{1}{8}\) of the pizza.

The correct answer is \(\frac{1}{8}\).