Question

Which of the following fractions has the highest value $\frac{3}{5}$, $\frac{4}{3}$, $\frac{2}{5}$ and $\frac{1}{2}$.

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

Answer 1

The correct option is B $\frac{4}{3}$

Given fractions are $\frac{3}{5},\frac{4}{3},\frac{2}{5}$ and $\frac{1}{2}$

LCM of denominators $2,3$ and $5$ is $30$

So,

$\frac{3}{5}=\frac{3}{5}\times \frac{6}{6}=\frac{18}{30}$

$\frac{4}{3}=\frac{4}{3}\times \frac{10}{10}=\frac{40}{30}$

$\frac{2}{5}=\frac{2}{5}\times \frac{6}{6}=\frac{12}{30}$

$\frac{1}{2}=\frac{1}{2}\times \frac{15}{15}=\frac{15}{30}$

As in above fractions all denominators are same and $40$ is the biggest numerator.

So, $\frac{40}{30}$ i.e. $\frac{4}{3}$ is the biggest fraction.