Add and Subtract Rational Expressions with Unlike Denominators

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with Unlike Denominators. 1. Find the least common denominator of the fractions. 2. Make the fractions ... 2. 47. Sample worksheet from www.mathmammoth.com.
Add and Subtract Rational Expressions with Unlike Denominators 1. Find the least common denominator of the fractions. a.

a 3a , 4 5

b.

x 2 , 4 x+1

c.

1

5 , 2y2 y5

8a

d.

a2 − 1

,

1 2a + 2

2. Make the fractions equivalent. a.

2x

= 2 x+1 x (x + 1)

t+1

b.

= 2 t −2 t −4

c.

b.

2 4 − a b

c.

x x2 + 3

=

3. Add the fractions in problem (1).

4. Simplify. a.

3 1 + x 5x

d. 3 +

1 x

e.

12 w2

+ 4w

f.

2y x2 2 ab2

5. Simplify. a.

4 x2 − 2x

+

5x

b.

2−x

b2 −7 (b − 1)

c.

5+x x2 + x x−2

d.

e.

1 1+q q−1 + − q s q

f. 2y + 3 −

Sample worksheet from www.mathmammoth.com

47

2 (x −

1)2

+

x x− 1

1 1 − x2

+

x+3 5



4 ab3c

x2 − x