Question

The multiplicative inverse of -3⅕ is l​

Answer 1

Answer:

$\frac{-5}{14}$

Step-by-step explanation:

Before finding out the multiplicative inverse of -3⅕, we have to convert the fraction into an improper fraction.

How to convert a mixed fraction into an improper fraction:

Look at the given fraction - $-3\frac{1}{5}$

Now, we have to multiply the denominator of the fractional part by the whole number.

-3 × 5 = -15

Now, add this end-product, i.e., -15. to the numerator of the fractional part, i.e., 1.

-15 + 1 = -14

Retain the denominator of the fraction, i.e., 5, and the numerator will be the final result we get after adding, i.e., -14.

So, the final fraction will be $\frac{-14}{5}$.

Finding out the multiplicative inverse:

The multiplicative inverse for a number x is a number which when multiplied by x yields the multiplicative identity 1.

Keep in mind that multiplicative inverse is just the interchanged fraction of the original fraction. Do not get scared if there is a minus sign in a fraction given.

So, the reciprocal of $\frac{-14}{5}$ is $\frac{-5}{14}$.