Question

Which of the given options represents the same decimal as the shaded shapes in the following figure?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Let us find the decimal value of the given colored shape.

Fraction of colored shapes = $\frac{4}{10}$

Decimal value = 0.4

Now, let's find out the decimal value of the colored shapes given in the options.

Fraction of colored shapes = $\frac{4}{8}$ = $\frac{1}{2}$

Decimal value = $\frac{1\times 5}{2\times 5}=$ $\frac{5}{10}=0.5$

$\therefore 0.5\ne 0.4$

Fraction of colored shapes = $\frac{2}{5}$

Decimal value = $\frac{2\times 2}{5\times 2}=$ $\frac{4}{10}=0.4$

$\therefore 0.4=0.4$

Fraction of colored shapes = $\frac{6}{10}$

Decimal value = 0.6

$\therefore 0.6\ne 0.4$

Fraction of colored shapes = $\frac{3}{6}$ = $\frac{1}{2}$

Decimal value = $\frac{1\times 5}{2\times 5}=$ $\frac{5}{10}=0.5$

$\therefore 0.5\ne 0.4$
Hence, the second option represents the same decimal value as given in the question.