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Home >> Multiplicative Inverse >> Rule 1 >>

Rule 1 = If product of two Fractional Numbers is equal to 1, then each of the Fractional Numbers is the Multiplicative Inverse of other.

Rule 1 Rule 2

Following are some examples explaining Rule 1 :-

Example 1 = Explain Rule 1 of Multiplicative Inverse with the help of given fraction 2/3 and 3/2.
Answer = The proceed is as :-
=2/3 × 3/2
Divide; multiplication of numerator by multiplication of denominators and we get;
= (2 × 3) / (3 × 2)
Solve the brackets and we get;
= 6/6
Divide numerator and denominator by 6 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of above fractions is equal to 1, because given fractions 2/3 and 3/2 are inverse of each other.

Example 2 = Explain Rule 1 of Multiplicative Inverse with the help of given fraction 10/15 and 15/10.
Answer = The proceed is as :-
=10/15 × 15/10
Divide; multiplication of numerator by multiplication of denominators and we get;
= (10 × 15) / (15 × 10)
Solve the brackets and we get;
= 150/50
Divide numerator and denominator by 150 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of above fractions is equal to 1, because given fractions 10/15 and 15/10 are inverse of each other.

Example 3 = Explain Rule 1 of Multiplicative Inverse with the help of given fraction 25/4 and 4/25.
Answer = The proceed is as :-
=25/4 × 4/25
Divide; multiplication of numerator by multiplication of denominators and we get;
= (25 × 4) / (4 × 25)
Solve the brackets and we get;
= 100/100
Divide numerator and denominator by 100 to convert fraction into lowest term and we get;
= 1/1 or = 1
Hence, we can see the product of above fractions is equal to 1, because given fractions 10/15 and 15/10 are inverse of each other.

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