To convert the decimal number 5.4 into a fraction, we can follow a few simple steps.
- Identify the whole number: The whole number part of 5.4 is 5.
- Focus on the decimal: The decimal part is 0.4.
- Convert the decimal to a fraction: The decimal 0.4 can be expressed as 4/10 because it has one digit after the decimal point. However, we can simplify this fraction:
To simplify 4/10, we find the greatest common divisor (GCD) of 4 and 10, which is 2:
- Dividing the numerator: 4 ÷ 2 = 2
- Dividing the denominator: 10 ÷ 2 = 5
This simplifies 0.4 to 2/5.
Now, we combine the whole number and the simplified fraction:
5 can be written as 5/1. Thus, we can add 5/1 and 2/5.
The addition is as follows:
- To add these fractions, we first convert 5/1 to have a common denominator with 2/5. The common denominator is 5.
- Convert 5/1: 5/1 = 25/5
Now we can add:
25/5 + 2/5 = 27/5
Thus, we express 5.4 as the fraction 27/5.
In summary, the decimal 5.4 as a fraction is 27/5.