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.

● **Rational Numbers - Worksheets**

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and
Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers

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● **Rational Numbers**

Introduction of Rational Numbers

Is Every Rational Number a Natural Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

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

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

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 Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

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

Reciprocal of a Rational Number

Rational Expressions Involving Division

Properties of Division of Rational Numbers

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