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.

Answers:

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

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