Worksheet on Rational Expressions Involving Sum and Difference

Practice the questions given in the worksheet on rational expressions involving sum and difference. The questions are based on simplifying rational expressions involving addition and subtraction.

1. Using the rearrangement property find the sum:

(i) 4/3 + 3/5 + -2/3 + -11/5

(ii) -8/3 + -1/4 + -11/6 + 3/8

(iii) -13/20 + 11/14 + -5/7 + 7/10

(iv) -6/7 + -5/6 + -4/9 + -15/7

2. Simplify the expressions:

(i) -3/2 + 5/4 - 7/4

(ii) 5/3 – 7/6 + (-2)/3

(iii) 5/4 - 7/6 - (-2)/3

(iv) -2/5 - (-3)/10 - (-4)/7

(v) 5/6 + (-2)/5 - (-2)/10

(vi) 3/8 – (-2)/9 + (-5)/36

3. What should be added to (2/3 + 3/5) to get -2/15?

4. What should be added to (1/2 + 1/3 + 1/5) to get 3?

5. What should be subtracted from (3/4 - 2/3) to get -1/6?

Answers for the worksheet on rational expressions involving the sum or difference are given below to check the exact answers of the above questions.

Answers:

1. (i) -14/15

(ii) -35/8

(iii) 17/140

(iv) -77/18

2. (i) -2

(ii) -1/6

(iii) 3/4

(iv) 33/70

(v) 17/30

(vi) 11/24

3. -7/5

4. 59/30

5. 1/4

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