Question

What fraction of the figure is shaded in blue?

• A. $\frac{2}{15}$
• B. $\frac{8}{15}$
• C. $\frac{2}{15}$
• D. $\frac{6}{15}$

Answer 1

The correct option is D $\frac{6}{15}$

Fraction of one vertical part of the figure = $\frac{1}{3}$

The first vertical part is divided horizontally into 5 equal parts.

Hence, fraction of the each horizontal part = $\frac{1}{5}\times \frac{1}{3}=\frac{1}{15}$

One horizontal part of $\frac{1}{15}$ is coloured in blue. = $\frac{1}{15}\times 1=\frac{1}{15}$

Also, one whole vertical part is covered in blue = $\frac{1}{15}\times 5=\frac{5}{15}$

Total fraction of figure shaded in blue = $\frac{5}{15}$ + $\frac{1}{15}$ = $\frac{6}{15}$

Hence, a total of $\frac{6}{15}$ of the figure is colured in blue.