Question

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

Answer 1

Answer:

$-\frac{21}{10}$   is the required multiplicative inverse.

Step-by-step explanation:

First of all simplify the given expression.

$\frac{2}{3}\cdot \frac{-5}{7}=-\frac{2\cdot \:5}{3\cdot \:7}=-\frac{10}{21}$

Multiplicative inverse of any number when multiplied gives 1.

The multiplicative inverse of  $-\frac{10}{21}$  is $-\frac{21}{10}$  because:

$-\frac{10}{21}\times -\frac{21}{10}=1$

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