# 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.

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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Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Representation of Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

To Find Rational Numbers