Date: May 14, 2023

# Comparing Fractions with Common Denominators Worksheet

Directions: Compare the following fractions with common denominators. Write < (less than), > (greater than), or = (equal to) in the blanks.

1. 3/8 ____ 1/8
2. 5/9 ____ 3/9
3. 2/7 ____ 6/7
4. 4/11 ____ 9/11
5. 7/12 ____ 2/12
6. 1/5 ____ 2/5
7. 8/15 ____ 3/15
8. 6/13 ____ 2/13
9. 9/16 ____ 6/16
10. 5/6 ____ 2/6

Directions: Fill in the blanks with the correct fraction that makes the statement true.

1. 3/4 ____ 6/8
2. 1/3 ____ 2/9
3. 4/5 ____ 8/10
4. 7/9 ____ 14/18
5. 2/5 ____ 8/20

Directions: Order the following fractions from least to greatest.

1. 2/3, 1/3, 3/3, 0/3
2. 4/5, 3/5, 1/5, 2/5
3. 5/7, 6/7, 2/7, 1/7

Directions: Solve the following word problems.

1. A pizza was cut into 8 slices. Maria ate 5/8 of the pizza and Carlos ate 3/8 of the pizza. Who ate more pizza?
2. John spent 2/3 of his allowance on video games and 1/3 of his allowance on a book. What fraction of his allowance did he spend on the book?

Directions: Circle the fraction that is equivalent to the given fraction.

1. 2/4
• 3/6
• 4/8
• 1/2
• 5/10
1. 7/10
• 14/20
• 28/40
• 21/30
• 35/50
1. 3/5
• 6/10
• 9/15
• 12/20
• 15/25

Directions: Determine which fraction is equal to the given decimal.

1. 0.25
• 1/4
• 2/4
• 3/4
• 1/8
1. 0.6
• 3/5
• 6/10
• 12/20
• 9/15
1. 0.875
• 7/8
• 3/8
• 5/8
• 1/8

Directions: Simplify the following fractions.

1. 10/15
2. 12/24
3. 20/25
4. 16/20

Directions: Find the missing numerator or denominator.

1. 3/8 = 9/_
2. 2/_ = 6/12
3. _/9 = 4/6
4. 3/5 = _/20

Directions: Solve the following fraction addition and subtraction problems.

1. 6/10 + 1/10
2. 7/8 – 3/8
3. 2/3 + 1/3 – 1/3
4. 3/4 – 1/2 + 1/8

Directions: Solve the following fraction multiplication and division problems.

1. 1/2 x 2/3
2. 3/4 ÷ 1/2
3. 2/5 x 10
4. 5 ÷ 1/2

Directions: Solve the following mixed operations problems.

1. 2/3 + 1/4 – 1/6
2. 5/8 – 1/4 ÷ 1/2
3. 1/3 x 4 ÷ 2/5

Directions: Convert the following fractions to decimals.

1. 7/10
2. 3/5
3. 8/25
4. 2/3
5. 5/12

End of Worksheet