Converting 0.15 to a Mixed Number Fraction
In mathematics, a mixed number is a combination of a whole number and a proper fraction. It's an alternative way to express an improper fraction, making it easier to understand and work with. In this article, we'll explore how to convert the decimal 0.15 to a mixed number fraction.
What is a Mixed Number?
A mixed number is a number that consists of a whole number part and a fractional part. For example, 2 3/4 is a mixed number, where 2 is the whole number part and 3/4 is the fractional part.
Converting 0.15 to a Fraction
To convert 0.15 to a fraction, we can divide the decimal by 1, which gives us:
0.15 = 15/100
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
15 ÷ 5 = 3 100 ÷ 5 = 20
So, the simplified fraction is:
0.15 = 3/20
Converting 3/20 to a Mixed Number
To convert 3/20 to a mixed number, we need to find the whole number part and the fractional part.
Since the numerator (3) is less than the denominator (20), we know that the whole number part is 0.
The remaining fractional part is still 3/20, which cannot be simplified further.
Therefore, the mixed number equivalent of 0.15 is:
0 3/20
Conclusion
In this article, we have successfully converted the decimal 0.15 to a mixed number fraction, which is 0 3/20. This conversion is essential in various mathematical operations, such as adding, subtracting, multiplying, and dividing mixed numbers. By understanding how to convert decimals to mixed numbers, we can develop a deeper appreciation for the complexity and beauty of mathematics.
