Chapter 4.3, Problem 29E

To determine

To simplify fraction in simplest form.

Answer to Problem 29E

  $\frac{1}{a}$

Explanation of Solution

Given information: $\frac{6a}{6a^2}$

Formula Used: Factorisation

Calculation:

  $\frac{6a}{6a^2}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{6a}{6a^2}=\frac{2\times 3\times a}{2\times 3\times a\times a}$

Now, divide the numerator by denominator to make fraction in simplest form.

  $\frac{2\times 3\times a}{2\times 3\times a\times a}=\frac{1}{a}$

Hence, fraction in simplest form

  $\frac{6a}{6a^2}=\frac{1}{a}$