Chapter 4.3, Problem 6C

To determine

To write given fractions in its simplest form.

Answer to Problem 6C

  $\frac{2}{9}$

Explanation of Solution

Given Information: $\frac{8}{36}$

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).

Calculation:

  $\frac{8}{36}$

Both numerator & denominator are now written as product of its prime factors.

  $=\frac{4\times 2}{4\times 9}$

As 4 is common in both num& den, it cancels out. In the next step, final answer is -

  $=\frac{2}{9}$