Question

Which of the following fractions are in order from the least to the greatest?

• A. $\frac{1}{2},\frac{2}{3},\frac{2}{6}$
• B. $\frac{1}{2},\frac{2}{6},\frac{2}{3}$
• C. $\frac{2}{6},\frac{2}{3},\frac{1}{2}$
• D. $\frac{2}{6},\frac{1}{2},\frac{2}{3}$

Answer 1

The correct option is D $\frac{2}{6},\frac{1}{2},\frac{2}{3}$

First convert the given fractions into like fractions.
L.C.M. of $2,3,6=6$
So,
$\frac{1}{2}=\frac{1\times 3}{2\times 3}=\frac{3}{6};\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6};\frac{2}{6}=\frac{2\times 1}{6\times 1}=\frac{2}{6}$
So, ascending order is,
$\frac{2}{6},\frac{3}{6},\frac{4}{6}$ i.e. $\frac{2}{6},\frac{1}{2},\frac{2}{3}$.