Multiplication of Rational Numbers


 
 
Concept Explanation
 

Multiplication of Rational Numbers

Multiplication of Rational Numbers:

The product of two given fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.

In other words, product of two given fractions = product of their numerators/product of their denominators

Similarly, we will follow the same rule for the product of rational numbers.

Therefore, product of two rational numbers = product of their numerators/product of their denominators.

Thus, if a/b and c/d are any two rational numbers, then

a/b × c/d = a × c/b × d

Example: Multiply 2/7 by 3/5

Solution:

2/7 × 3/5

= (2 × 3)/(7 × 5)

= 6/35

 

Example: Multiply 5/9 by (-3/4)

Solution:

5/9 × (-3/4)

= 5 × -3/9 × 4

= -15/36

= -5/12

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Multiply: large frac{-2}{15};by; frac{5}{11}

Right Option : B
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Explanation
Question : 2

Multiply: large frac{5}{7};by;frac{-3}{4}

Right Option : D
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Explanation
Question : 3

Multiply: large frac{-2}{9};by; frac{18}{11}

Right Option : B
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Explanation
 
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