Question

How many parts should be shaded in figure B to make it represent the same fraction as the shaded part of figure A ?

• A. 3
• B. 5
• C. 8
• D. 12

Answer 1

The correct option is B 5

Figure A is divided into four equal parts, out of which one is shaded.

$\Rightarrow$ Figure A represents the fraction $\frac{1}{4}$.

Figure B is divided into twenty equal parts.

To find the number of parts to be shaded in figure B, we need to find the equivalent fraction of $\frac{1}{4}$ with denominator 20.

$\frac{1}{4}\times \frac{5}{5}=\frac{5}{20}$


Thus, we need to shade 5 parts out of 20 in figure B so that both the figures represent the same fraction$(\frac{1}{4}=\frac{5}{20}).$