To convert the decimal number 13.5 into a fraction, we can follow a simple step-by-step process.
First, we recognize that 13.5 is a decimal number with one digit after the decimal point. This means it can be converted into a fraction over 10, since 10 is the base of our decimal system and there’s one digit after the decimal point.
The number 13.5 can be written as 13 and a half. The decimal part.5 is equivalent to 5⁄10. However, to keep the fraction in its simplest form, we simplify 5⁄10 to 1⁄2.
So, when combining the whole number part (13) with the fractional part (1⁄2), we get:
13 + 1⁄2 = 13 1⁄2
Or in a more mathematical notation:
13.5 = 13 + 0.5 = 13 + 1⁄2 = 27⁄2
Therefore, 13.5 as a fraction is 27⁄2.
Here are the key steps summarized:
- Identify the decimal: The number is 13.5.
- Split into whole and decimal parts: 13 (whole part) and 0.5 (decimal part).
- Convert the decimal part to a fraction: 0.5 = 5⁄10 = 1⁄2.
- Combine the whole and fractional parts: 13 + 1⁄2 = 13 1⁄2, which can also be represented as 27⁄2 in an improper fraction format.
Remember, when you have a decimal that ends in.5, it’s always easy to convert it into a fraction because.5 equals 1⁄2.
