Example 2

7

6

+

5

4

=

?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/6, 5/4) = 24

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1:

7

6

x

4

4

+

	5

	4

x

	6

	6

28

24

+

30

24

=

	58

	24

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 58 and 24 which is 2

58

24

=

	(58 ÷ 2)

	(24 ÷ 2)

=

	29

	12