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What is the multiplicative inverse of 3/4 ? what is the multiplicative inverse of 3/4 ? @Mathematics

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3 votes
n - the number

the multiplicative inverse: 1/n

n = 3/4

the multiplicative inverse of 3/4 is 4/3.
User Henry Tseng
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4 votes

Answer: The required multiplicative inverse is
(4)/(3).

Step-by-step explanation: We are given to find the multiplicative inverse of
(3)/(4).

We know that

b is said to be the multiplicative inverse of another number a if the following condition is satisfied :


a* b = 1.

Here, in the given situation, we have


a=(3)/(4).

So, its multiplicative inverse is b is


a* b=1\\\\\Rightarrow (3)/(4)* b=1\\\\\\\Rightarrow b=(1)/((3)/(4))\\\\\\\Rightarrow b=(4)/(3).

Thus, the required multiplicative inverse is
(4)/(3).

User Seffix
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