what is the product?\n$\frac{a - 3}{15a}cdot\frac{5}{a - 3}$\n$\frac{1}{3}$\n$\frac{1}{3a}$\n$3a$\n$3$

what is the product?\n$\frac{a - 3}{15a}cdot\frac{5}{a - 3}$\n$\frac{1}{3}$\n$\frac{1}{3a}$\n$3a$\n$3$
Answer
Explanation:
Step1: Multiply the fractions
$\frac{a - 3}{15a}\times\frac{5}{a - 3}=\frac{(a - 3)\times5}{15a\times(a - 3)}$
Step2: Simplify the fraction
Cancel out the common factor $(a - 3)$ in the numerator and denominator, and simplify $\frac{5}{15a}$. We know that $\frac{5}{15a}=\frac{5\div5}{15a\div5}=\frac{1}{3a}$
Answer:
$\frac{1}{3a}$