Question

Arrange the following in ascending order:2/7,3/5,5/6​

Answer 1

This is answer.

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Answer 2

Given,

Fractions: 2/7, 3/5, 5/6.

To find,

Arrange the fractions in ascending order.

Solution,

We can solve this problem simply by following the process given below.

First, let's know what it means by saying ascending order. So ascending order means arranging the given numbers in increasing order, that is from the smallest to the biggest number.

For example, 5, 2, 3, 0, 1, when arranged in ascending order will be 0, 1, 2, 3, 5.

Now, to compare more than one fractions we need to make the numerator or denominator of the fractions equal. Now, when the denominators are the same, the fraction having the smallest numerator will be the smallest. Whereas if numerators are the same, the fraction having the highest denominator will be the smallest.

To make denominators equal, we should find out their LCM.

Here, given fractions are,

$\frac{2}{7}, \frac{3}{5}, \frac{5}{6}$

For which, the LCM will be 210. Now, making their denominators equal,

$\frac{2}{7} *\frac{30}{30} =\frac{60}{210}$

$\frac{3}{5}* =\frac{42}{42} =\frac{126}{210}$

$\frac{5}{6}= \frac{35}{35} =\frac{175}{210}$

Now, we can simply compare the numerators of the obtained fractions.

So, $\frac{60}{210} < \frac{126}{210} < \frac{175}{210}$

Original fractions can now be written in place of these fractions, we get,

$\frac{2}{7} < \frac{3}{5} < \frac{5}{6}$

Therefore, ascending order of the given fractions will be $\frac{2}{7} < \frac{3}{5} < \frac{5}{6}$.