# Worksheet on Multiplication of Rational Number

Practice the questions given in the worksheet on multiplication of rational number. We know, for any two rational numbers a/b and c/d, we have a/b × c/d = a × c/b × d.

1. Multiply each of the following rational numbers:

(i) 7/11 by 5/4

(ii) 5/7 by (-3/4)

(iii) (-2)/9 by 5/11

(iv) -3/17 by -5/-4

2. Find the product of each of the following:

(i) 3/5 × (-7)/8

(ii) (-9)/2 × 5/4

(iii) (-6)/11 × 5/3

(iv) (-2)/3 × 6/7

(v) (-12)/5 × 10/-3

(vi) 25/-9 × 3/-10

(vii) 5/-18 × -9/20

(viii) (-13)/15 × (-25)/26

(ix) 16/-21 × 14/5

(x) (-7)/6 × 24

(xi) 7/24 × (-48)

(xii) (-13)/5 × (-10)

3. Find the reciprocal of:

(i) 13/25

(ii) (-17)/12

(iii) (-7)/24

(iv) 18

(v) -16

4. Find the value of:

(i) (5/8)^-1

(ii) (-4/9)^-1

(iii) (-7)^-1

(iv) (1/-3)^-1

5. Fill in the blanks:

(i) The product of a rational number and its reciprocal is __________ .

(ii) Zero has __________ reciprocal.

(iii) The numbers __________ and __________ are their own reciprocals.

(iv) Zero is __________ the reciprocal of any number.

(v) The reciprocal of a, where a ≠ 0, is __________ .

(vi) The reciprocal of 1/a, where a ≠ 0, is __________ .

(vii) The reciprocal of a positive rational number is __________ .

(viii) The reciprocal of a negative rational number is __________ .

6. Simplify each of the following and express the result as a rational number:

(i) -16/21 × 14/5

(ii) 7/6 × -3/28

(iii) -19/36 × 16

(iv) -13/9 × 27/-26

Answers for the worksheet on multiplication of rational number are given below to check the exact answers of the above multiplication.

1. (i) 35/44

(ii) -15/28

(iii) -10/99

(iv) -15/68

2. (i) -21/40

(ii) -45/8

(iii) 10/11

(iv) -4/7

(v) 8

(vi) 5/8

(vii) 1/8

(viii) 5/6

(ix) -32/15

(x) -28

(xi) -14

(xii) 26

3. (i) 25/13

(ii)  12/-17

(iii) 24/-7

(iv) 1/18

(v) 1/-16

4. (i) 8/5

(ii) -9/4

(iii) -1/7

(iv) -3

5. (i) 1

(ii) No

(iii) 1, -1

(iv) Not

(v) 1/a

(vi) a

(vii) Positive

(viii) Negative

6. (i) -32/15

(ii) -1/8

(iii) -76/9

(iv) 3/2

Rational Numbers - Worksheets

Worksheet on 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 Properties of Addition of Rational Numbers

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Objective Questions on Rational Numbers

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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

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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

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Subtraction of Rational Numbers

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