Question

Arrange the given fractions in increasing order: \n
$\frac{1}{2},\frac{2}{3},\frac{2}{5},\frac{4}{7}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$\frac{1}{2},\frac{2}{3},\frac{2}{5},\frac{4}{7}$
since all denominators are prime numbers we multiply them to get their
LCM
LCM=$2\times 3\times 5\times 7=210$
$\therefore \frac{1}{2}=\frac{1\times 105}{2\times 105}=\frac{105}{210}$
$\frac{2}{3}=\frac{2\times 70}{3\times 70}=\frac{140}{210}$
$\frac{2}{5}=\frac{2\times 42}{5\times 42}=\frac{84}{210}$
$\frac{4}{7}=\frac{4\times 30}{7\times 30}=\frac{120}{210}$
$\therefore$ Arranging in increasing order
$\frac{84}{210},\frac{105}{210},\frac{120}{210},\frac{140}{210}$ or $\frac{2}{5},\frac{1}{2},\frac{4}{7},\frac{2}{3}$