Question

arrange in ascending order :3/2,1/4,5/8​

Answer 1

5/8,3/2,1/4 is the answer

Answer 2

SOLUTION

TO DETERMINE

To Arrange in ascending order

$\displaystyle \sf{ \frac{3}{2} \: , \: \frac{1}{4} \: , \: \frac{5}{8} }$

EVALUATION

Here the given fractions are

$\displaystyle \sf{ \frac{3}{2} \: , \: \frac{1}{4} \: , \: \frac{5}{8} }$

Now the denominators are 2 , 4 , 8

LCM of the denominators = 8

Now

$\displaystyle \sf{ \frac{3}{2} = \frac{3 \times 4}{2 \times 4} = \frac{12}{8} }$

$\displaystyle \sf{ \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} }$

$\displaystyle \sf{ \frac{5}{8} = \frac{5 \times 1}{8 \times 1} = \frac{5}{8} }$

From above we can conclude that

$\displaystyle \sf{ \frac{1}{4} < \frac{5}{8} < \frac{3}{2} }$

Hence the required ascending order is

$\displaystyle \sf{ \frac{1}{4} \:, \: \frac{5}{8} \: ,\: \frac{3}{2} }$

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