Chapter 4.3, Problem 10E

To determine

To write given fractions in its simplest form.

Answer to Problem 10E

  $\frac{1}{4b}$

Explanation of Solution

Given Information: $\frac{6b}{24b^2}$

Formula used: Divide numerator and denominator such that they can no longer be divided by the same whole number exactly or evenly (other than the number 1). Q

Calculation:

  $\frac{6b}{24b^2}$

All numbers and variables are now written as product of its factors. This gives us-

  $=\frac{6\times b}{6\times 4\times b\times b}$

On simplifying,

  $=\frac{1}{4b}$