Question

Find the fraction representing the unshaded portion.

• A. $\frac{12}{18}$
• B. $\frac{2}{3}$
• C. $\frac{1}{3}$
• D.
  (a) and (b) above.

Answer 1

The correct option is D

(a) and (b) above.
There are 18 squares in this figure, of which 6 are shaded. So 18 - 6 = 12 are unshaded.

So, fraction representing the unshaded portion = $\frac{12}{18}$
But we know that 12 = 2 $\times$ 6 and also 18 = 3 $\times$ 6.
Which means we can divide both numerator and denominator by 6 to get an equivalent fraction.

$\frac{12}{18}$ = $\frac{2}{3}$