Question

Determine which two of the given bags represent equivalent decimals.

• A. Bags I and II
• B. Bags I and III
• C. Bags II and III
• D. All three bags represent different decimals.

Answer 1

The correct option is A Bags I and II

In bag I, out of 10 marbles, 2 are blue in color.
Fraction of blue marbles = $\frac{2}{10}$
$⟹\frac{2}{10}=0.2$

In bag II, out of 5 marbles, 1 of them is red in color.
Fraction of red marbles = $\frac{1}{5}$

$⟹\frac{1}{5}=\frac{1}{5}\times \frac{2}{2}=\frac{2}{10}$

$⟹\frac{2}{10}=0.2$

In bag III, out of 4 marbles, 2 are green in color.

Fraction of green marbles $=\frac{2}{4}=\frac{1}{2}$
$⟹\frac{1}{2}=\frac{1}{2}\times \frac{5}{5}=\frac{5}{10}$

$\frac{1}{2}=0.5$

Hence, bags I and II represent equivalent decimals.