Worksheet on Addition and Subtraction of Rational Number

Practice the questions given in the worksheet on addition and subtraction of rational number. The questions are based on adding and subtracting rational numbers with same denominators and adding and subtracting rational numbers with different denominators.

1. Add the following rational numbers:

(i) -5/7 and 3/7

(ii) -15/4 and 7/4

(iii) -8/11 and -4/11

(iv) 6/13 and -9/13

2. Add the following rational numbers:

(i) 3/4 and -3/5

(ii) -3 and 3/5

(iii) -7/27 and 11/18

(iv) 31/-4 and -5/8

3. Verify the following:

(i) (3/4 + -2/5) + -7/10 = 3/4 + (-2/5 + -7/10)

(ii) (-7/11 + 2/-5) + -13/22 = -7/11 + (2/-5 + -13/22)

(iii) -1 + (-2/3 + -3/4) = (-1 + -2/3) + -3/4

4. Subtract the following rational numbers:

(i) 3/4 from 1/3

(ii) -5/6 from 1/3

(iii) -8/9 from -3/5

(iv) -9/7 from -1

(v) -18/11 from 1

(vi) -13/9 from 0

(vii) -32/13 from -6/5

(viii) -7 from -4/7

5. The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.

6. The sum of two rational numbers is -1/2. If one of the numbers is 5/6 find the other.

7. What number should be added to -5/8 so as to get -3/2?

8. What number should be added to -1 so as to get 5/7?

9. What number should be subtracted from -2/3 to get -1/6?

10. Is the difference of two rational numbers a rational number?

11. What is the negative of a negative rational number?

Answers for the worksheet on addition and subtraction of rational number are given below to check the exact answers of the above questions on addition and subtraction.

Answers:

1. (i) -2/7

(ii) -2

(iii) -12/11

(iv) -3/13

2. (i) 3/20

(ii) -12/5

(iii) 9/54

(iv) -67/6

4. (i) -5/12

(ii) 7/6

(iii) 13/45

(iv) 2/7

(v) 29/11

(vi) 13/9

(vii) 82/65

(viii) 45/7

5. 4/5

6. -4/3

7. -7/8

8. 12/7

9. -1/2

10. Yes

11. The number itself.

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