Write the following fractions as mixed fractions and arrange them in ascending order:

$\frac{11}{8} , \frac{17}{12}, \frac{5}{3}, \frac{8}{6} $

Given :

The given fractions are, $\frac{11}{8} , \frac{17}{12}, \frac{5}{3}, \frac{8}{6} $

To do :

We have to write the given  fractions as mixed fractions and arrange them in ascending order.

Solution :

$\frac{11}{8} = \frac{11\times 3}{8\times 3} = \frac{33}{24} =\frac{ (24+9)}{24} = 1\frac {9}{24}$

$\frac{17}{12} = \frac{17\times 2}{12\times 2} = \frac{34}{24} =\frac{ (24+10)}{24} = 1\frac {10}{24}$

$\frac{5}{3} = \frac{5\times 8}{3\times 8} = \frac{40}{24} =\frac{ (24+16)}{24} = 1\frac {16}{24}$

$\frac{8}{6} = \frac{8\times 4}{6\times 4} = \frac{32}{24} =\frac{ (24+8)}{24} = 1\frac {8}{24}$

On comparing the fractions,

$1\frac {8}{24}< 1\frac {9}{24} <1\frac {10}{24} < 1\frac {16}{24}$.

Therefore,

The given numbers in ascending order is $\frac{8}{6},\frac{11}{8}, \frac{17}{12}, \frac{5}{3}$. 

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Updated on: 10-Oct-2022

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