Question

Choose the figure that represents the corresponding fractions given below them .

• A. Figure A
• B. Figure B
• C. Figure C
• D. Figure D

Answer 1

The correct option is B Figure B

$\text{Examining each figure, we find:}$

$FigureA:$

$\text{2 out of 4 parts are colored}$

$\therefore \text{Fraction represented by the figure}=\frac{2}{4}$

$\frac{2}{4}=\frac{2\times 4}{4\times 4}=\frac{8}{16}$

$\text{Now,}\frac{8}{16}\ne \frac{4}{16}$

$\therefore \text{In A, the fraction represented by}\text{the figure is}notequivalent\text{to the fraction}\text{below it.}$

$FigureB:$

$\text{1 out of 5 parts are colored}$

$\therefore \text{Fraction represented by the figure}=\frac{1}{5}$

$\frac{1}{5}=\frac{1\times 3}{5\times 3}=\frac{3}{15}$

$\therefore \text{In B, the fraction represented by}\text{the figure is}equivalent\text{to the}\text{fraction below it.}$

$FigureC:$

$\text{4 out of 6 parts are colored}$

$\therefore \text{Fraction represented by the figure}=\frac{4}{6}$

$\frac{4}{6}=\frac{4÷2}{6÷2}=\frac{2}{3}$

$\text{Now,}\frac{2}{3}\ne \frac{1}{3}$

$\therefore \text{In C, the fraction represented by}\text{the figure is}notequivalent\text{to the fraction}\text{below it.}$

$FigureD:$

$\text{2 out of 3 parts are colored}$

$\therefore \text{Fraction represented by the figure}=\frac{2}{3}$

$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$

$\text{Now,}\frac{4}{6}\ne \frac{5}{6}$

$\therefore \text{In D, the fraction represented by}\text{the figure is}notequivalent\text{to the fraction}\text{below it.}$