# How to arrange fractions in ascending and descending order?

Fractions represent the equal parts of a whole or a collection of items. So if we have a collection of items and we divide them into different parts, then each part is a fraction of the whole.

## Answer: The fractions can be first made like fractions and then be arranged in ascending and descending order.

Like fractions are fractions with the same denominator.

**Explanation:**

Arranging in decreasing order means arranging the fractions from 'greatest to smallest' in value. Similarly, arranging in increasing order means arranging the fractions from 'smallest to greatest' in value

Let's take a few fractions to see how can we arrange fractions in ascending and descending order:

1/2 , 2/3, 1/5, 3/7

To express these fractions to as like fractions, we must make all the denominators same by taking the LCM of all the denominators, that is, 2, 3, 5, and 7.

Therefore, LCM of 2, 3, 5, 7 = 2 × 3 × 5 × 7 = 210.

Now let's make the denominators as 210 for all the fractions, as:

1/2 = 1/2 × 105/105 = 105/210

2/3 = 2/3 × 70/70 = 140/210

1/5 = 1/5 × 42/42 = 42/210

3/7 = 3/7 × 30/30 = 90/210

Let's now arrange the fractions in descending order:

140/210 > 105/210 > 90/210 > 42/210 or 2/3 > 1/2 > 3/7 > 1/5

Let's now arrange the fractions in ascending order:

42/210 < 90/210 < 105/210 < 140/210 or 1/5 < 3/7 < 1/2 < 2/3