0.008 as a Mixed Number
Introduction
In mathematics, a mixed number is a combination of a whole number and a fraction. It is an alternative way to express an improper fraction, making it easier to understand and work with. In this article, we will explore how to convert the decimal number 0.008 to a mixed number.
What is 0.008 as a Fraction?
To convert 0.008 to a mixed number, we first need to convert it to an improper fraction. To do this, we can divide 0.008 by 1, which gives us:
0.008 = 8/1000
Simplifying the Fraction
The fraction 8/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 8 and 1000 is 4, so we can simplify the fraction as follows:
8 ÷ 4 = 2 1000 ÷ 4 = 250
So, the simplified fraction is:
2/250
Converting to a Mixed Number
Now that we have the simplified fraction, we can convert it to a mixed number. To do this, we need to divide the numerator (2) by the denominator (250). This gives us:
2 ÷ 250 = 0 with a remainder of 2
So, the mixed number equivalent of 0.008 is:
0 2/250
Conclusion
In conclusion, the decimal number 0.008 can be converted to a mixed number by first converting it to an improper fraction, simplifying the fraction, and then converting it to a mixed number. The resulting mixed number is 0 2/250.