Which statement must be true to determine if the fraction 1/3 represents a larger quantity than the fraction 1/4?

The denominators are different.

The fractions are parts of circles.

Leo has a large pizza and eats 1/2 of it. Mia has a small pizza and eats 1/2 of it. Which statement is correct?

They ate the same amount of pizza.

It is impossible to compare who ate more.

A rectangle is divided into 5 parts of unequal size. If one part is shaded, can we say the shaded area represents 1/5 of the rectangle?

Yes, because one of five parts is shaded.

No, because the parts are not of equal size.

Yes, because the shape is a rectangle.

No, because `1/5` is too small.

Under what condition can we correctly state that 2/4 of a garden is the same area as 1/2 of a garden?

If the fractions refer to two identical gardens.

If one garden has 4 sections and the other has 2.

If the gardens grow the same vegetables.

This statement is never correct.

Compare Fractions Practice — Grade 4 math

Lesson 6: Compare Fractions — Practice Questions

1. Which statement must be true to determine if the fraction 1/3 represents a larger quantity than the fraction 1/4?
- A. The denominators are different.
- B. The wholes are the same size.
- C. The numerators are both 1.
- D. The fractions are parts of circles.
2. Leo has a large pizza and eats 1/2 of it. Mia has a small pizza and eats 1/2 of it. Which statement is correct?
- A. They ate the same amount of pizza.
- B. Leo ate more pizza than Mia.
- C. Mia ate more pizza than Leo.
- D. It is impossible to compare who ate more.
3. A rectangle is divided into 5 parts of unequal size. If one part is shaded, can we say the shaded area represents 1/5 of the rectangle?
- A. Yes, because one of five parts is shaded.
- B. No, because the parts are not of equal size.
- C. Yes, because the shape is a rectangle.
- D. No, because `1/5` is too small.
4. Under what condition can we correctly state that 2/4 of a garden is the same area as 1/2 of a garden?
- A. If the fractions refer to two identical gardens.
- B. If one garden has 4 sections and the other has 2.
- C. If the gardens grow the same vegetables.
- D. This statement is never correct.
5. Is the following statement true or false? 'A serving of 1/8 of a large watermelon is the same amount as a serving of 1/8 of a small watermelon.'
- A. True
- B. False
6. A large bottle holds 32 ounces of water, and a small bottle holds 16 ounces. If you drink `1/4` of each bottle, you drink ___ more ounces from the large bottle.
7. A baker has two identical pans of brownies. He cuts one into 8 equal pieces and the other into 4 equal pieces. Why is `2/8` of a pan the same amount as `1/4` of a pan?
- A. Because the pans of brownies are identical in size.
- B. Because the number of pieces is different.
- C. Because `2+8` is not equal to `1+4`.
- D. Because he used the same recipe for both.
8. Ava drinks $\frac{1}{2}$ of a small carton of juice. Ben drinks $\frac{1}{2}$ of a large carton of juice. Which statement is true?
- A. Ava and Ben drank the same amount of juice.
- B. Ava drank more juice than Ben.
- C. Ben drank more juice than Ava.
- D. They both drank a full carton of juice.
9. For the statement $\frac{2}{4} = \frac{1}{2}$ to be true when comparing shaded areas of two shapes, the shapes (the wholes) must be ___ in size.
10. A chocolate bar is broken into 5 pieces of unequal size. If you eat one piece, can you say you ate $\frac{1}{5}$ of the bar?
- A. Yes, because you ate one of five pieces.
- B. No, because the pieces are not of equal size.
- C. Yes, but only if you ate the smallest piece.
- D. No, because you should have eaten all five pieces.