Question

Arrange in ascending order:-

$\frac{6}{13},\frac{1}{3},\frac{10}{26}$

Answer 1

Take the LCM of Denominator $13,3$ and $26$. It will be $78$

Arrange the denominator in such a way so that all the denominator have same value.

$$\begin{gathered} \frac{6\times 6}{13\times 6},\frac{1\times 26}{3\times 26},\frac{10\times 3}{26\times 3} \\ \frac{36}{78},\frac{26}{78},\frac{30}{78} \end{gathered}$$

The fraction which has a greater the value of Numerator will be greatest,

So,

$\frac{26}{78}<\frac{30}{78}<\frac{36}{78}$

$\frac{1}{3}<\frac{10}{26}<\frac{6}{13}$