Chapter 4.3, Problem 31E

To determine

To simplify fraction in simplest form.

Answer to Problem 31E

  $\frac{9cd}{4}$

Explanation of Solution

Given information: $\frac{27bcd}{12b}$

Formula Used: Factorisation

Calculation:

  $\frac{27bcd}{12b}$

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

  $\frac{27bcd}{12b}=\frac{3\times 3\times 3\times b\times c\times d}{2\times 2\times 3\times b}$

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

  $\frac{3\times 3\times 3\times b\times c\times d}{2\times 2\times 3\times b}=\frac{3\times 3\times c\times d}{2\times 2}$

Hence, fraction in simplest form

  $\frac{27bcd}{12b}=\frac{9cd}{4}$