Question

Arrange the fractions in ascending order:
2/5,4/9,3/8​

Answer 1

$\frac{2}{5}, \frac{4}{9} , \frac{3}{8}$

LCM of 5,9 and 8 = 360

After making the fractions same, we get

$\frac{144}{360} , \frac{160}{360} , \frac{135}{360}$

Arranging in ascending order

$\frac{135}{360} , \frac{144}{360} , \frac{160}{360}$

therefore answer is

$\frac{3}{8}, \frac{2}{5} , \frac{4}{9}$

Hope it helps :)

Answer 2

Answer:

$L.C.M \: of \: 5, 9 \: and \: 8 \: is \: 360$

$Now, \:$

$\frac{2}{5} \: = \frac{2 \times 72}{5 \times 72} = \frac{144}{360}\\ \\ \frac{4}{9} = \frac{4 \times 40}{9 \times 40} = \frac{160}{360}\\ \\ \frac{3}{8} = \frac{3 \times 45}{8 \times 45} = \frac{135}{360}$

$So, \: \frac{135}{360} < \frac{144}{360} < \frac{160}{360}$

$\: Therefore, \:$

$\frac{3}{8} < \frac{2}{5} < \frac{4}{9}$

hope it helps you!