Question

Find the greatest fraction among the following.

• A. $\frac{2}{10}$
• B. $\frac{6}{20}$
• C. $\frac{4}{5}$
• D. $\frac{16}{40}$

Answer 1

The correct option is C $\frac{4}{5}$

To compare the given fractions, the denominators of all the fractions need to be equal.

So,
$\frac{2}{10}=\frac{2\times 1}{10\times 1}=\frac{2}{10}$
$\frac{6}{20}=\frac{3\times 2}{10\times 2}=\frac{3}{10}$
$\frac{4}{5}=\frac{4\times 2}{5\times 2}=\frac{8}{10}$
$\frac{16}{40}=\frac{4\times 4}{10\times 4}=\frac{4}{10}$

Now, since all the denominators are equal, the fraction with the greatest numerator will be the greatest fraction as well.

So, $\frac{8}{10}$ is the greatest fraction among all the fractions given here.

Hence, $\frac{8}{10}$ that is $\frac{4}{5}$ is the greatest fraction among the given options.