Comparing Fractions: 1/4, 1/3, and 1/9 in Increasing Order
When working with fractions, it's essential to understand how to compare and arrange them in a specific order. In this article, we'll explore how to arrange the fractions 1/4, 1/3, and 1/9 in increasing order.
Understanding the Fractions
Before we dive into arranging these fractions in order, let's take a closer look at each one:
1/4
The fraction 1/4 represents one out of four equal parts. Imagine a pizza divided into four slices, where one slice is shaded in. This fraction is equivalent to 0.25 in decimal form.
1/3
The fraction 1/3 represents one out of three equal parts. Picture a pie divided into three slices, where one slice is shaded in. This fraction is equivalent to 0.33 in decimal form.
1/9
The fraction 1/9 represents one out of nine equal parts. Think of a cake divided into nine slices, where one slice is shaded in. This fraction is equivalent to 0.11 in decimal form.
Comparing the Fractions
To arrange these fractions in increasing order, we need to compare their values. Let's start by comparing 1/4 and 1/3:
- 1/4 = 0.25
- 1/3 = 0.33
Since 0.25 is less than 0.33, we can conclude that 1/4 is less than 1/3.
Next, let's compare 1/3 and 1/9:
- 1/3 = 0.33
- 1/9 = 0.11
Since 0.11 is less than 0.33, we can conclude that 1/9 is less than 1/3.
Finally, let's compare 1/4 and 1/9:
- 1/4 = 0.25
- 1/9 = 0.11
Since 0.11 is less than 0.25, we can conclude that 1/9 is less than 1/4.
Arranging the Fractions in Increasing Order
Based on our comparisons, we can arrange the fractions in increasing order as follows:
- 1/9
- 1/4
- 1/3
There you have it! The correct order is 1/9, 1/4, and 1/3.
