Chapter 4.3, Problem 5E

To determine

To write given fractions in its simplest form.

Answer to Problem 5E

  $\frac{4}{7}$

Explanation of Solution

Given Information: $\frac{8}{14}$

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:

  $\frac{8}{14}$

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

  $=\frac{2\times 2\times 2}{7\times 2}$

As 2is common in both num& den, it cancels out. In the next step -

  $=\frac{2\times 2}{7}$

Final answer is-

  $=\frac{4}{7}$