Chapter 4.3, Problem 32E

To determine

To simplify fraction in simplest form.

Answer to Problem 32E

  $\frac{st}{8}$

Explanation of Solution

Given information: $\frac{5s^2{t}^2}{40st}$

Formula Used: Factorisation

Calculation:

  $\frac{5s^2{t}^2}{40st}$

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

  $\frac{5s^2{t}^2}{40st}=\frac{5\times s\times s\times t\times t}{2\times 2\times 2\times 5\times s\times t}$

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

  $\frac{5\times s\times s\times t\times t}{2\times 2\times 2\times 5\times s\times t}=\frac{s\times t}{2\times 2\times 2}$

Hence, fraction in simplest form

  $\frac{5s^2{t}^2}{40st}=\frac{st}{8}$