#### Multiplication of Rational Numbers

If and are two Rational Numbers,

then, x =

**Question 1**

Find the product of ?

**Explanation**

x = =

To further simplify the given numbers into their lowest form, we would divide both the Numerator and Denominator by their HCF

HCF of 45 and 35 is 5

Dividing both the Numerator and Denominator by their HCF

=

Hence, the product of and =

**Question 2**

Find the product of and ?

**Explanation**

x

=

( Product of one negative and one positive integer is always negative)

=

To further simplify the given numbers into their lowest form, we would divide both the Numerator and Denominator by their HCF

HCF of 108 and 56 is 4

Dividing both the Numerator and Denominator by their HCF

=

Hence, product of and =

**Question 3**

Find the product of and ?

**Explanation**

x

=

( Product of one negative and one positive integer is always negative )

=

To further simplify the given numbers into their lowest form, we would divide both the Numerator and Denominator by their HCF

HCF of 32 and 84 is 4

Dividing both the Numerator and Denominator by their HCF

=

Hence, product of x =

**Question 4**

Find the product of x ?

**Explanation**

x

=

( Product of two negative integers is always positive )

=

HCF of 66 and 40 is 2

Dividing both the Numerator and Denominator by their HCF

=

Hence, product of x =

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