Question

Write the multiplicative inverse.

${\displaystyle -7\frac{1}{3}}$

Answer 1

It is known that the multiplicative inverse of any rational number a is the reciprocal of the rational number i.e., ${\displaystyle \frac{1}{a}}$

The given number is ${\displaystyle -7\frac{1}{3}}$

Now, ${\displaystyle -7\frac{1}{3}}$

${\displaystyle =-(7+\frac{1}{3})}$

${\displaystyle =-\left(\frac{21+1}{3}\right)}$

${\displaystyle =-\frac{22}{3}}$

Multiplicative inverse of ${\displaystyle -\frac{22}{3}}$

 = ${\displaystyle \frac{1}{-\frac{22}{3}}}$

= ${\displaystyle -\frac{3}{22}}$