Question

The value of which of the following fractions is less than $20\%$ ?

• A. $\frac{1}{4}$
• B. $\frac{2}{5}$
• C. $\frac{2}{11}$
• D. $\frac{2}{3}$

Answer 1

The correct option is C

$\frac{2}{11}$

Explanation for the correct option:

Option C: $\frac{2}{11}$

To check the percentage, we will first convert the fraction into percentage by multiplying it by $100$.

$\Rightarrow \frac{2}{11}\times 100=\frac{200}{11}=18.18\%$

Thus, $\frac{2}{11}$ is equivalent to $18.18\%$ which is less than $20\%$.

Explanation for incorrect options:

Option A: $\frac{1}{4}$

To check the percentage, we will first convert the fraction into percentage by multiplying it by $100$.

$\Rightarrow \frac{1}{4}\times 100=\frac{\cancel{100}25}{\cancel{4}1}=25\%$

Thus, $\frac{1}{4}$ is equivalent to $25\%$ which is more than $20\%$.

Option B: $\frac{2}{5}$

To check the percentage, we will first convert the fraction into percentage by multiplying it by $100$.

$\Rightarrow \frac{2}{5}\times 100=\frac{2}{\cancel{5}1}\times \cancel{100}20=40\%$

Thus, $\frac{2}{5}$ is equivalent to $40\%$ which is more than $20\%$.

Option D: $\frac{2}{3}$

To check the percentage, we will first convert the fraction into percentage by multiplying it by $100$.

$\Rightarrow \frac{2}{3}\times 100=\frac{200}{3}=66.67\%$

Thus, $\frac{2}{3}$ is equivalent to $66.67\%$ which is more than $20\%$.