Those who feel the concept of Multiplying Rational Numbers difficult can use the Worksheet on Multiplication of Rational Numbers here. Get to see various examples on the Rational Numbers Multiplication in the coming sections. Try to solve the questions from the Multiplication of Rational Numbers Worksheet at first and assess your preparation standards. For your comfort, we even provided solutions explained in detail. To know more you can always look up our Rational Numbers Worksheets and Clarify your doubts then and there itself.

1. Multiply each of the following Rational Numbers

(i) 5/11 by 3/4

(ii) -2/9 by 4/11

(iii) -3/7 by -2/-5

**Solution:**

(i) 5/11 by 3/4

= (5/11)/(3/4)

= 5/11*4/3

= 5*4/11*3

= 20/33

(ii) -2/9 by 4/11

= (-2/9)/(4/11)

= -2/9*11/4

= -2*11/9*4

= -22/36

= -11/18

(iii) -3/7 by -2/-5

= (-3/7)/(-2/-5)

= (-3/7)/(2/5)

= -3/7*5/2

= -3*5/7*2

= -15/14

2. Find the Product of each of the following

(i) 4/5*(-7/6) (ii) (-11)/5 × 9/-3

**Solution:**

(i) 4/5*(-7/6)

= 4*-7/5*6

= -28/30

= -14/15

(ii) (-11)/5 × 9/-3

= -11*9/5*-3

= -99/-15

= 99/15

= 33/5

3. Find the Reciprocal of

(i) 10/22

(ii)(-5/12)

(iii) -14

**Solution:**

Reciprocal is nothing but the number which when multiplied by given number results in 1

(i) 22/10

(ii) 12/-5

(iii) 1/-14

4. Find the Value of

(i) (3/8)^-1

(ii) (4/5)^-1

(iii) (7/6)^-1

**Solution:**

(i) (3/8)^-1

= 1/(3/8)

= 8/3

(ii) (4/5)^-1

= 1/(4/5)

= 5/4

(iii) (7/6)^-1

= 1/(7/6)

= 6/7

5. Fill in the Blanks

1. The Product of a Rational Number and its Reciprocal is __________

2. Reciprocal of b where b ≠ 0 is __________

3. Reciprocal of 1/b where b ≠ 0 is __________

4. Rational Number 0 has its __________

5. Is Zero Reciprocal of any number __________

6. Reciprocal of Positive Rational Number remains __________

7. Reciprocal of Negative Rational Number remains __________

**Solution:**

1. 1

2. 1/b

3. b

4. Own Reciprocal

5. No

6. Positive

7. Negative

6. Simplify the following and express the result as a Rational Number

(i) -13/21 × 2/5

(ii) 3/4 × -5/28

**Solution:**

(i) -13/21 × 2/5

= (-13*2)/(21*5)

= -26/105

(ii) 3/4 × -5/28

=3*(-5)/4*28

= -15/112