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Comparing unlike fractions

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. Which is larger, 2/4 or 2/5? (Type the larger fraction.)

2. Which is larger, 3/4 or 1/5? (Type the larger fraction.)

3. Which is larger, 2/3 or 1/5? (Type the larger fraction.)

4. Which is larger, 1/2 or 1/3? (Type the larger fraction.)

5. Which is larger, 2/3 or 1/4? (Type the larger fraction.)

Answer key · Comparing unlike fractions

1. 2/4

Rename to a common denominator of 4 × 5 = 20.

2/4 = 10/20 and 2/5 = 8/20.

10 > 8, so 2/4 is larger.

2. 3/4

Rename to a common denominator of 4 × 5 = 20.

3/4 = 15/20 and 1/5 = 4/20.

15 > 4, so 3/4 is larger.

3. 2/3

Rename to a common denominator of 3 × 5 = 15.

2/3 = 10/15 and 1/5 = 3/15.

10 > 3, so 2/3 is larger.

4. 1/2

Rename to a common denominator of 2 × 3 = 6.

1/2 = 3/6 and 1/3 = 2/6.

3 > 2, so 1/2 is larger.

5. 2/3

Rename to a common denominator of 3 × 4 = 12.

2/3 = 8/12 and 1/4 = 3/12.

8 > 3, so 2/3 is larger.

Try it together

Fold two equal strips of paper into different numbers of equal parts. Find two fractions that cover the same length.

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