Mastering Common Denominators

• 12

• 24

• 18

Answer explanation

The least common denominator (LCD) for the fractions 3/4 and 5/6 is 12. It is the smallest number that both 4 and 6 can divide evenly into.

Answer explanation

To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 12. Therefore, the equivalent fractions to use are 4/12 and 3/12, which are the correct choices.

• 8

• 16

• 4

• 2

Answer explanation

The common denominator for 7/8 and 1/2 is 16. This is because 8 and 2 are both factors of 16, and it is the smallest number that both fractions can be expressed with.

• 10

• 14

• 35

• 20

Answer explanation

The least common denominator of the fractions 2/5 and 3/7 is 35. It is the smallest number that both 5 and 7 divide into evenly.

Answer explanation

To subtract fractions with a common denominator, subtract the numerators. The correct answer is 18/27 - 15/27 = 3/27.

Answer explanation

To combine fractions with a common denominator, multiply the numerators and denominators. The correct choice is 14/35 and 15/35.

• 15

• 30

• 20

• 25

Answer explanation

The least common denominator (LCD) for 4/5 and 2/3 is 15, which is the correct choice.