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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● **Rational Numbers**

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Representation of Rational Numbers on the Number Line

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Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

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Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

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Properties of Division of Rational Numbers

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