Chapter 4.3, Problem 24E

To determine

To simplify fraction in simplest form.

Answer to Problem 24E

  $\frac{9}{10}$

Explanation of Solution

Given information: $\frac{54}{60}$

Formula Used: Factorisation

Calculation:

  $\frac{54}{60}$

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

  $\frac{54}{60}=\frac{2\times 3\times 3\times 3}{2\times 2\times 3\times 5}$

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

  $\frac{2\times 3\times 3\times 3}{2\times 2\times 3\times 5}=\frac{3\times 3}{2\times 5}$

Hence, fraction in simplest form

  $\frac{54}{60}=\frac{9}{10}$