Simplifying Fractions

What is the greatest common factor of 12 and 18?

• 3

• 6

• 9

• 15

Answer explanation

The greatest common factor of 12 and 18 is 6 because it is the largest number that divides both 12 and 18 without leaving a remainder.

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greatest common factor

Reduce the fraction 8/12 to its lowest terms.

• 3/4

• 2/3

• 5/7

• 4/6

Answer explanation

To reduce the fraction 8/12 to its lowest terms, divide both the numerator and denominator by their greatest common divisor, which is 4. The simplified fraction is 2/3, which is the correct choice.

Find an equivalent fraction for 3/5 with a denominator of 15.

• 4/15

• 7/15

• 9/15

• 11/15

Answer explanation

To find an equivalent fraction for 3/5 with a denominator of 15, we need to multiply both the numerator and denominator by the same number. Multiplying 3 and 5 by 3 gives us 9/15, which is the correct choice.

Identify the greatest common factor of 24 and 36.

• 12

• 30

• 18

• 6

Answer explanation

The greatest common factor of 24 and 36 is 12, which is the correct choice.

Simplify the fraction 10/25 to its lowest terms.

• 4/9

• 2/5

• 3/7

• 5/12

Answer explanation

To simplify the fraction 10/25, divide both the numerator and denominator by their greatest common divisor, which is 5. The simplified fraction is 2/5, which is the correct choice.

What is the equivalent fraction of 2/3 with a denominator of 9?

• 3/9

• 5/9

• 8/9

• 6/9

Answer explanation

To find the equivalent fraction of 2/3 with a denominator of 9, we need to multiply both the numerator and denominator by 3. This gives us 6/9, which is the correct choice.

Determine the greatest common factor of 30 and 45.

• 20

• 15

• 10

• 25

Answer explanation

The greatest common factor of 30 and 45 is 15, which is the correct choice.

Reduce the fraction 16/24 to its lowest terms.

• 4/6

• 2/3

• 8/12

• 10/15

Answer explanation

To reduce the fraction 16/24 to its lowest terms, divide both the numerator and denominator by their greatest common divisor, which is 8. The simplified fraction is 2/3, which is the correct choice.

Find an equivalent fraction for 4/7 with a denominator of 28.

• 16/28

• 5/14

• 10/28

• 3/7

Answer explanation

To find an equivalent fraction for 4/7 with a denominator of 28, we need to multiply both the numerator and denominator by the same number. Multiplying 4 and 7 by 4 gives us 16/28, which is the correct choice.

Calculate the greatest common factor of 42 and 56.

• 14

• 18

• 25

• 10

Answer explanation

The greatest common factor of 42 and 56 is 14, which is the correct choice. It is the largest number that divides both 42 and 56 without leaving a remainder.