Question

What is the multiplicative inverse of the sum of 1/3 + 1/5 ? Express in simplest form

Answer 1

$\frac{8}{15}$

My Work/Reasoning:
First we find the sum of 1/3 and 1/5. $\frac{1}{3} + \frac{1}{5} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}$
Then, we find the multiplicative inverse, I guess it's also known as the reciprocal. $\frac{8}{15}$ turns into $\frac{15}{8}$
Finally, we simplify. $\frac{15}{8}=1 \frac{7}{8}$