Question

Arrange the following fractions in ascending order. $\frac{2}{5},\frac{3}{10},\frac{9}{14},\frac{16}{35}$

Answer 1

Arrange the fractions in ascending order. $\frac{2}{5},\frac{3}{10},\frac{9}{14},\frac{16}{35}$

First, find the LCM of the denominator of the fraction

LCM of $5,10,14,35$ is $70$

Convert the given fraction into like a fraction,

$$\begin{gathered} \frac{2\times 14}{5\times 14},\frac{3\times 7}{10\times 7},\frac{9\times 5}{14\times 5},\frac{16\times 2}{35\times 2} \\ \frac{28}{70},\frac{21}{70},\frac{45}{70},\frac{32}{70} \end{gathered}$$

We observe, $\frac{21}{70}<\frac{28}{70}<\frac{32}{70}<\frac{45}{70}$

Hence, the ascending order is $\frac{3}{10},\frac{2}{5},\frac{16}{35},\frac{9}{14}$.