Chapter 4.3, Problem 8C

To determine

To write given fractions in its simplest form.

Answer to Problem 8C

  $\frac{4}{7}$

Explanation of Solution

Given Information: $\frac{28}{49}$

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:

  $\frac{28}{49}$

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

  $=\frac{7\times 4}{7\times 7}$

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

  $=\frac{4}{7}$