Arrange the following in ascending order
$ \frac{5}{8}, \frac{5}{6}, \frac{1}{2} $

Given :

The given fractions are $ \frac{5}{8}, \frac{5}{6}, \frac{1}{2} $

To do :

We have to arrange the given fractions in ascending order.

Solution :

To arrange the given fractions $ \frac{5}{8}, \frac{5}{6}, \frac{1}{2} $ in ascending order first we need to convert them to like fractions.  

 To convert them to like fractions we need to find the LCM of the denominators.  

 $ 8 = 2\times2\times2$

 $6 = 2\times3$

   LCM of $8,6,2 = 2\times2\times2\times3 = 24$.

   Therefore,

$\frac{ 5}{8} =\frac{ 5\times 3}{8 \times 3} = \frac{15}{24}$

$\frac{5}{6}= \frac{5\times4}{6\times 4} = \frac{20}{24}$

$\frac{ 1}{2} = \frac{ 1 \times 12}{2 \times 12} = \frac{12}{24}$

   On comparing the numerators,  $12<15<20$

   Therefore, $\frac{12}{24} <  \frac{15}{24} <  \frac{20}{24}$

$\frac{ 1}{2}  < \frac{ 5}{8} <\frac{5}{6}$.

   The ascending order of the given fractions is $\frac{ 1}{2} , \frac{ 5}{8} , \frac{5}{6}$.

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Updated on: 10-Oct-2022

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