Question

A pizza is cut into 8 equal slices. You eat 2 slices and your friend eats 3 slices. a. What fraction of the pizza did you and your friend eat? b. What fraction of the pizza is left?

Short answer

Answer: You and your friend ate 5/8 of the pizza, and 3/8 of the pizza is left.

Step-by-step solution

Represent pizza slices as fractions

Since the pizza is cut into 8 equal slices, each slice represents 1/8 of the pizza.

Calculate the fraction of pizza that you ate

You ate 2 slices, so your eaten fraction is 2 times 1/8: 2 * \frac{1}{8} = \frac{2}{8}

Calculate the fraction of pizza that your friend ate

Your friend ate 3 slices, so their eaten fraction is 3 times 1/8: 3 * \frac{1}{8} = \frac{3}{8}

Calculate the total fraction consumed by you and your friend

Now, add the fractions from Step 2 and Step 3: \frac{2}{8} + \frac{3}{8} = \frac{2+3}{8} = \frac{5}{8} Answer for part (a): You and your friend ate 5/8 of the pizza.

Calculate the fraction of pizza left

To find the remaining fraction, subtract the consumed fraction (5/8) from the whole pizza (8/8): \frac{8}{8} - \frac{5}{8} = \frac{8-5}{8} = \frac{3}{8} Answer for part (b): 3/8 of the pizza is left.