Question

question #1 multiply the rational expressions. write the product in simplest form. $\frac{5}{10}cdot\frac{6m}{9}$ $\frac{3}{4m}$ $\frac{m}{3}$ $\frac{3m}{4}$ $\frac{3}{m}$

Explanation:

Step1: Multiply numerators and denominators

$\frac{5}{10}\times\frac{6m}{9}=\frac{5\times6m}{10\times9}$

Step2: Simplify the numerator and denominator

$5\times6m = 30m$ and $10\times9=90$, so we have $\frac{30m}{90}$

Step3: Reduce the fraction

$\frac{30m}{90}=\frac{m}{3}$ (divide both numerator and denominator by 30)

Answer:

$\frac{m}{3}$