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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