Question

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

Answer 1

Answer:

$\frac{4}{5} \: \: \frac{2}{3} \: \: \: \frac{1}{2} \: \: \frac{ 3}{5}$

Find the LCM

5)5,3,2,5

1,3, 2,1

5×3×2×1×1=30

LCM is 30

$\frac{4}{5} \times \frac{6}{6} = \frac{24}{30} \\ \\ \frac{2}{3} \times \frac{10}{10} = \frac{20}{30}$

$\frac{1}{2} \times \frac{15}{15} = \frac{15}{30} \\ \\ \frac{3}{5} \times \frac{6}{6} = \frac{18}{30}$

$\frac{24}{30} > \frac{20}{30} > \frac{18}{30} > \frac{15}{30}$

(Or)

4/5> 2/3> 1/2 >3/4

Answer 2

$\rm\underline{Correct\ Question}$

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

$\rm\underline{Answer}$

We can’t arrange arrange in ascending order without making the denominator same,so we will take LCM.

So,

LCM of 5,3,2 and 4 =>60

Therefore,

$\implies\dfrac{4\times12}{5\times12}=\dfrac{48}{60}\\\\\\\implies\dfrac{2\times20}{3\times20} =\dfrac{40}{60} \\\\\\\implies\dfrac{1\times30}{2\times30} =\dfrac{30}{60} \\\\\\\implies\dfrac{3\times15}{4\times15}=\dfrac{45}{60}$

 

Ascending order of 48/60,40/60,30/60,45/60

$\dfrac{30}{60} <\dfrac{40}{60} <\dfrac{45}{60} <\dfrac{48}{60}$

Finally,

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

$\dfrac{1}{2} <\dfrac{2}{3}<\dfrac{3}{4} <\dfrac{4}{5}$

⭑Note⭑

• Asecnding order means arrangement from smallest to largest.
• Desecending order means arrangment from largest to smallest.

Hope it helps :)

Have a nice day !!