# Add and Subtract Rational Expressions with Unlike Denominators by fdh56iuoui

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with Unlike Denominators
1. Find the least common denominator of the fractions.

3a   a                         x   2                                 1     5                                 8a            1
a.      ,                      b.     ,                            c.         , 5                        d.            ,
5   4                         4 x+1                               2y2    y                              a2 − 1       2a + 2

2. Make the fractions equivalent.
2x                                         t+1                                                 x                 x2 − x
a.        =                                b.        =                                     c.                 =
x + 1 x2(x + 1)                            t − 2 t2 − 4                                     x2 + 3

3. Add the fractions in problem (1).

4. Simplify.

3   1                                      2   4                                            2y       x+3
a.     +                                   b.     −                                        c.       +
x   5x                                     a   b                                            x2           5

1                                    12                                               2   4
d. 3 +                                     e.      + 4w                                    f.      −
x                                    w2                                              ab2 ab3c

5. Simplify.
4          5x                                                    b2
a.             +                                                   b.           −7
x2 − 2x       2−x                                                  (b − 1)

5+x    x2                                                                2     x
c.       +                                                         d.           +
x    x−2                                                          (x − 1)2 x − 1

1   1+q   q−1                                                                     1
e.     +     −                                                     f. 2y + 3 −
q    s     q                                                                   1 − x2

Math Mammoth Algebra 1 Worksheets Collection. Copyright SpiderSmart, Inc. and Taina Maria Miller
Sample worksheet from
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