Question

Pick the greater fraction.

• A. $\frac{3}{2}$
• B. $\frac{5}{3}$
• C. $\frac{1}{3}$
• D. $\frac{7}{2}$

Answer 1

The correct option is D $\frac{7}{2}$

Since the given fractions are unlike fractions, we need to convert them into equivalent fractions such that they all have the same denominators.
i.e, $\frac{3}{2}=\frac{3\times 3}{2\times 3}=\frac{9}{6}$

$\frac{5}{3}=\frac{5\times 2}{3\times 2}=\frac{10}{6}$

$\frac{1}{3}=\frac{1\times 2}{3\times 2}=\frac{2}{6}$

$\frac{7}{2}=\frac{7\times 3}{2\times 3}=\frac{21}{6}$
$\because 2<9<10<21,$ we have $\frac{2}{6}<\frac{9}{6}<\frac{10}{6}<\frac{21}{6}.$
i.e., $\frac{1}{3}<\frac{3}{2}<\frac{5}{3}<\frac{7}{2}$
Thus, $\frac{7}{2}$ is the greatest fraction of the lot.