Pizza Night: Same Amount, Different Slices

Find equal fractions with same-size pizzas and number lines.

Same-size pizzas

The pizzas in each problem are the same size.

Mila and Theo each have a pizza. The shaded parts show what they ate.

Mila's pizza is on the left. Theo's pizza is on the right.

Mila ate /4 of her pizza.
Theo ate /8 of his pizza.
Did they eat the same amount? Write yes or no.

Jayden's pizza is 2/3 cheese. The shaded part is cheese.

Which same-size pizza has the same amount of cheese?

A. B. C. D.

Ana's pizza is 1/2 mushroom. Ben's pizza is cut into 6 equal slices, and none of them have mushrooms yet.

Ben puts mushrooms on slices to match Ana's amount.
1/2 = /6

Match each pizza on the left to the pizza on the right with the same amount shaded.

Pizza delivery road

The pizza shop is at 0 on every road. The number lines in each problem are maps of the same road.

The park is at 1. Driver Lee's map (top) is marked in thirds. Driver Kim's map (bottom) is marked in sixths. The dot shows where Lee stops.

Lee stops at /3.
Kim stops at the same spot. Kim stops at /6.

The park is at 1. Lee's map (top) is marked in fourths. Kim's map (bottom) is marked in eighths. The dots show where they stop.

Lee stops at 3/4. Kim stops at 5/8. Which sentence is true?

A. They stop at different spots. 3/4 is at the same point as 6/8, not 5/8.B. They stop at the same spot, so 3/4 = 5/8.C. Kim stops farther from the shop than Lee.

This road is longer. It goes from the shop at 0 to the lake at 2. The top map is marked in thirds. The bottom map is marked in sixths.

The dot on the top map is at 4/3. The same point on the bottom map is /6.

Use these two maps of the same road to help. The top map is marked in thirds. The bottom map is marked in sixths.

Sort each pair of fractions.

Pizza puzzles

Read each problem carefully.

Owen's pizza is cut into equal slices, and he eats 4 slices. Rosa eats 1/2 of a pizza that is the same size. They eat the same amount.

Owen's pizza is cut into equal slices.
4/ = 1/2

10.

Kai eats 1/2 of a small pizza. Nora eats 1/2 of a large pizza. Which sentence is true?

A. They ate the same amount, because 1/2 = 1/2.B. Nora ate more pizza, because half of a large pizza is bigger than half of a small pizza.C. Kai ate more pizza, because a small pizza has fewer slices.

11.

Lee drives 2/2 of the road to the park. Kim drives 4/4 of the same road. Kim says she drove farther because 4 is more than 2. Is Kim right? Explain using a number line.