Question

What is the product? a-3/15a × 5/a-3

Answer 1

Answer:  The required answer is $\dfrac{1}{3a},~a\neq 3.$

Step-by-step explanation:  We are given to find the following product :

$P=\dfrac{a-3}{15a}\times\dfrac{5}{a-3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since (a - 3) is present in both numerator and denominator, so we can divide them if

$a-3\neq 0\\\\\Rightarrow a\neq 3.$

Then, we get from (i) that

$P\\\\\\=\dfrac{(a-3)}{15a}\times\dfrac{5}{(a-3)}\\\\\\=\dfrac{5}{15a}\\\\\\=\dfrac{1}{3a}.$

Thus, the required answer is $\dfrac{1}{3a},~a\neq 3$

Answer 2

Answer:

$\frac{1}{3a}$

Step-by-step explanation:

Given

$\frac{a-3}{15a}$ × $\frac{5}{a-3}$

Cancel the factor (a - 3) on the numerator and denominator

Cancel the 5 and 15 by dividing both by 5, leaving

$\frac{1}{3a}$