Question

arrange the following in ascending order -1/3,-1/6,-2/3,4/5​

Answer 1

Given: The numbers are$-1/3,-1/6,-2/3,4/5$.

We have to arrange the above numbers in ascending order.

As we know that ascending order means the process of arranging numbers from smallest to largest from left to right.

We are solving in the following way:

We have,

The numbers are$-1/3,-1/6,-2/3,4/5$.

First, we will find the LCM of the above numbers.

Lcm of$3, 6, 5$ is$30$.

Now, let change each of the given fractions into an equivalent fraction having $30$as a denominator.

$=>\frac{-1}{3} \times\frac{10}{10} =\frac{-10}{30} \\\\=>\frac{-1}{6} \times\frac{5}{5}=\frac{-5}{30}\\\\=>\frac{-2}{3} \times\frac{10}{10}=\frac{-20}{30}\\\\=>\frac{4}{5} \times\frac{6}{6}=\frac{24}{30}$

From the above numbers, we can say that,

$=>\frac{-20}{30}<\frac{-10}{30} <\frac{-5}{30}<\frac{24}{30}$.

Hence, the above numbers in ascending order are:

$\frac{-2}{3} <\frac{-1}{3} <\frac{-1}{6} <\frac{4}{5}$.