Question

Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?

Answer 1

In terms of prime factors,
12 = 1 x 12
     = 1 x 2 x 6
     = 1 x 2 x 2 x 3
28 = 1 x 28
     = 1 x 2 x 14
     = 1 x 2 x 2 x 7

Therefore
$\frac{12}{28}= \frac{2\times2\times3}{2\times2\times7} = \frac{3}{7}$

Answer:  $\frac{3}{7}$