Chapter 4.3, Problem 20E

To determine

To simplify fraction in simplest form.

Answer to Problem 20E

  $\frac{8}{9}$

Explanation of Solution

Given information: $\frac{32}{36}$

Formula Used: Factorisation

Calculation:

  $\frac{32}{36}$

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

  $\frac{32}{36}=\frac{2\times 2\times 2\times 2\times 2}{2\times 2\times 3\times 3}$

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

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

Hence, fraction in simplest form

  $\frac{32}{36}=\frac{8}{9}$