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Home >> Multiplicative Inverse >> Rule 2 >>

Rule 2 = If the product of a Fractional Number and a Whole Number is equal to 1, then each is the Multiplicative Inverse of other.

Rule 1 Rule 2

Following are some examples explaining Rule 2 :-

Example 1 = Explain Rule 2 of Multiplicative Inverse with the help of whole number 2 and fraction 1/2
Answer = The proceed is as :-
= 2 × 1/2
Multiply whole number 2 with numerator(1) of given fraction and keep the denominator(2) same and we get;
= (2 × 1) / 2
Solve brackets and we get;
= 2/2
Divide numerator and denominator by 2 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of whole number and fractions is equal to 1, because whole number 2 and fraction 1/2 are inverse of each other.

Example 2 = Explain Rule 2 of Multiplicative Inverse with the help of whole number 106 and fraction 1/106
Answer = The proceed is as :-
= 106 × 1/106
Multiply whole number 106 with numerator(1) of given fraction and keep the denominator(106) same and we get;
= (106 × 1) / 106
Solve brackets and we get;
= 106/106
Divide numerator and denominator by 106 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of whole number and fractions is equal to 1, because whole number 106 and fraction 1/106 are inverse of each other.

Example 3 = Explain Rule 2 of Multiplicative Inverse with the help of whole number 99 and fraction 1/99
Answer = The proceed is as :-
= 99 × 1/99
Multiply whole number 99 with numerator(1) of given fraction and keep the denominator(99) same and we get;
= (99 × 1) / 99
Solve brackets and we get;
= 99/99
Divide numerator and denominator by 106 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of whole number and fractions is equal to 1, because whole number 99 and fraction 1/99 are inverse of each other.

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