College

Find the reciprocal or multiplicative inverse.

[tex]-\frac{14}{15}[/tex]

The answer is [tex]\square[/tex] (Type an integer or a simplified fraction).

Answer :

Sure! Let's find the reciprocal or multiplicative inverse of [tex]\(-\frac{14}{15}\)[/tex].

### Step-by-Step Solution:

1. Understand the Reciprocal:
The reciprocal (or multiplicative inverse) of a fraction [tex]\(\frac{a}{b}\)[/tex] is [tex]\(\frac{b}{a}\)[/tex].

2. Apply to the Given Fraction:
We are given the fraction [tex]\(-\frac{14}{15}\)[/tex]. To find its reciprocal, we swap the numerator and the denominator.

3. Swap the Numerator and Denominator:
Swapping the numerator and the denominator of [tex]\(-\frac{14}{15}\)[/tex] gives us [tex]\(-\frac{15}{14}\)[/tex].

Therefore, the reciprocal or multiplicative inverse of [tex]\(-\frac{14}{15}\)[/tex] is [tex]\(-\frac{15}{14}\)[/tex].

So, the answer is:

[tex]\[
-\frac{15}{14}
\][/tex]