Question

What is the multiplicative inverse of -1 1/3 equal to

Answer 1

The multiplicative inverse of $-1\frac{1}{3}$ is $-\frac{3}{4}$ .

The multiplicative inverse of a number is also known as its reciprocal. It is a value that, when multiplied by the original number, gives a product of 1.

For a nonzero number "a," its multiplicative inverse or reciprocal, denoted as "$\frac{1}{a}$," is the number that satisfies the following equation:

$a\cdot \frac{1}{a}=1$

In other words, the multiplicative inverse of a number is the number that, when multiplied by the original number, results in the identity element for multiplication, which is 1.

The number $-1\frac{1}{3}$ can be expressed as a fraction by converting the mixed number to an improper fraction:

$-1\frac{1}{3}=-\frac{4}{3}$

The multiplicative inverse (also called the reciprocal) of a number is found by inverting the fraction, and swapping the numerator and denominator:

Reciprocal of $-\frac{4}{3}$ is $-\frac{3}{4}$

Therefore, the multiplicative inverse of $-1\frac{1}{3}$ is $-\frac{3}{4}$ .

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