Question

Find the greatest fraction :

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$\frac{1}{3},\frac{4}{7},\frac{2}{5},\frac{3}{6}$
LCM =210 LCM = $3\times 7\times 5\times 2$
=210
Bring all fractions to the same denominator.
$\frac{1}{3}=\frac{1\times 70}{3\times 70}=\frac{70}{210}$
$\frac{4}{7}=\frac{4\times 30}{7\times 30}=\frac{120}{210}$
$\frac{2}{5}=\frac{2\times 42}{5\times 42}=\frac{84}{210}$
$\frac{3}{6}=\frac{3\times 35}{6\times 35}=\frac{105}{210}$
hence $\frac{120}{210}$or $\frac{4}{7}$ is the greatest fraction in the given list.