Question

Arrange the following fractions in ascending order $\frac{5}{7},\frac{3}{8},\frac{9}{14},\frac{20}{21}$

Answer 1

Arrange the fractions in ascending order $\frac{5}{7},\frac{3}{8},\frac{9}{14},\frac{20}{21}$

First, find the LCM of the denominator of the fraction

LCM of $7,8,14,21$ is $168$

Convert the given fraction into like a fraction,

$$\begin{gathered} \frac{5\times 24}{7\times 24},\frac{3\times 21}{8\times 21},\frac{9\times 12}{14\times 12},\frac{20\times 8}{21\times 8} \\ \frac{120}{168},\frac{63}{168},\frac{108}{168},\frac{160}{168} \end{gathered}$$

We observe, $\frac{63}{168}<\frac{108}{168}<\frac{120}{168}<\frac{160}{168}$

Hence, the ascending order of fraction is $\frac{3}{8},\frac{9}{14},\frac{5}{7},\frac{20}{21}$.