Problem

Find the sum or difference, and write it in lowest terms. See Example 1 and 3.EXAMPLE 1 Ad...

Find the sum or difference, and write it in lowest terms. See Example 1 and 3.

EXAMPLE 1 Adding Fractions with the Same Denominator

(a)
(b)

EXAMPLE 2 Adding Fractions with Different Denominators

Find each sum, and write it in lowest terms.

(a)
To find the least common denominator, first factor both denominators.
15 = 5 • 3 and 9 = 3 • 3
Since 5 and 3 appear as factors, and 3 is a factor of 9 twice, the LCD is
Write each fraction with 45 as denominator.
(b)

EXAMPLE 3 Subtracting Fractions

Find each difference, and write it in lowest terms.

(a)
(b)
(c)
Since 32 = 2 • 2 • 2 • 2 • 2 and 45 = 3 • 3 • 5, there are no common factors. The LCD is 32 • 45 = 1440.
(d)

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