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. 5
• B. 8
• C. 3
• D. 12

Answer 1

The correct option is A 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 $(\frac{1}{4}=\frac{5}{20}).$