Question

what is the product?\\(\frac{a - 3}{15a} cdot \frac{5}{a - 3}\\)\\(circ \frac{1}{3}\\)\\(circ \frac{1}{3a}\\)\\(circ 3a\\)\\(circ 3\\)

Explanation:

Step1: Identify common factors

Notice that $(a-3)$ appears in numerator and denominator.

Step2: Cancel common factors

$$\frac{a-3}{15a} \cdot \frac{5}{a-3} = \frac{1}{15a} \cdot 5$$

Step3: Simplify the remaining terms

$$\frac{5}{15a} = \frac{1}{3a}$$

Answer:

$\boldsymbol{\frac{1}{3a}}$ (Option: $\boldsymbol{\frac{1}{3a}}$)