MCQ
The multiplicative inverse of $\frac{2}{-3}$ is:
- A$\frac{-2}{3}$
- B$\frac{3}{2}$
- C$\frac{1}{3}$
- ✓$\frac{-3}{2}$
✓
Answer
Correct option: D.
$\frac{-3}{2}$
The multiplicative inverse also known as reciprocal implies is something that is opposite.
The reciprocal number obtained in such a way that the value is equal to identity $1$ when multiplied by the original number.
Let us consider the number ‘a’ then the multiplicative inverse of the number is $\frac{1}{\text{a}}$.
$\text{a}\times\frac{1}{\text{a}}=1$
The given value is $\frac{-2}{3}, $ so
$\frac{-2}{3} \times\frac{-3}{2}$
$\Rightarrow 1$ The multiplicative inverse of $\frac{-2}{3}$ is $\frac{-3}{2}.$
The reciprocal number obtained in such a way that the value is equal to identity $1$ when multiplied by the original number.
Let us consider the number ‘a’ then the multiplicative inverse of the number is $\frac{1}{\text{a}}$.
$\text{a}\times\frac{1}{\text{a}}=1$
The given value is $\frac{-2}{3}, $ so
$\frac{-2}{3} \times\frac{-3}{2}$
$\Rightarrow 1$ The multiplicative inverse of $\frac{-2}{3}$ is $\frac{-3}{2}.$
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