When we express a fraction as a decimal, we are representing the fraction in a different form. In this case, we want to find the decimal representation of the fraction 2/9.
The decimal representation of 2/9 is approximately 0.2222.
There are multiple methods to solve 2/9 as a decimal. Let's explore two common methods:
To solve 2/9 as a decimal using long division, follow these steps:
Using this method, we can see that the decimal representation of 2/9 is approximately 0.2222.
To solve 2/9 as a decimal using this method, follow these steps:
Again, we find that the decimal representation of 2/9 is approximately 0.2222.
Example 1: To find the decimal representation of 2/9, we can use long division:
0.2
-------
9| 2.0
1.8
----
20
18
---
20
18
---
20
18
---
20
18
---
20
The decimal representation of 2/9 is approximately 0.2222.
Example 2: Using the second method, we multiply both the numerator and denominator by 111.111:
(2 × 111.111) ÷ (9 × 111.111) = 222.222 ÷ 999.999 = 0.2222
So, 2/9 as a decimal is approximately 0.2222.
Example 3: Another way to find the decimal representation of 2/9 is by dividing 2 by 9 using a calculator. The result is 0.2222.
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers or integers. Fractions consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line).
The symbols used to represent fractions are the fraction bar ("/") and the division slash ("÷"). For example, 2/9 or 2 ÷ 9 both represent the fraction 2/9.
There are several types of fractions, including:
A fraction consists of two components:
For example, in the fraction 2/9, 2 is the numerator and 9 is the denominator.
A decimal is a way to represent numbers that are not whole numbers or integers. It is a base-10 positional numeral system, where each digit represents a different power of 10. Decimals are used to express numbers that fall between whole numbers.
The symbol used to represent a decimal is a dot or a period ("."). For example, 0.2222 is a decimal representation of a number.
Decimals consist of two components:
For example, in the decimal 0.2222, 0 is the whole number part and 2222 is the decimal part.
There are several types of decimals, including:
As mentioned earlier, the decimal representation of 2/9 is approximately 0.2222.