Question

Find the multiplicative inverse of 2/3 * - 5/7​

Answer 1

`-(21)/(10)` is the required multiplicative inverse.

Explanation:

First of all simplify the given expression.

`(2)/(3)\cdot (-5)/(7)=-(2\cdot \:5)/(3\cdot \:7)=-(10)/(21)`

Multiplicative inverse of any number when multiplied gives 1.

The multiplicative inverse of
`-(10)/(21)` is
`-(21)/(10)` because:

`-(10)/(21)* -(21)/(10)=1`

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