Question

Arrange in ascending order :

$\frac{14}{15},\frac{27}{30},\frac{37}{40}$

Answer 1

Take the LCM of $15,30\&40$ it will be

$120$

Arrange in such a way so that ali fraction have same denominator .

$$\begin{gathered} \frac{14\times 8}{15\times 8},\frac{27\times 4}{30\times 4},\frac{37\times 3}{40\times 3} \\ \frac{112}{120},\frac{108}{120},\frac{111}{120} \end{gathered}$$

If all the denominator are same then the fraction which have greater numerator will be greatest fraction.

$\frac{108}{120}<\frac{111}{120}<\frac{112}{120}$

So the ascending order of the given fraction

$\frac{27}{30}<\frac{37}{40}<\frac{14}{15}$

.