Converting .012 to a Fraction
In this article, we will explore how to convert the decimal number .012 to a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting .012 to a Fraction
To convert .012 to a fraction, we can follow these steps:
Step 1: Write the decimal as a fraction with a denominator of 1
.012 = .012/1
Step 2: Multiply the numerator and denominator by 1000 to eliminate the decimal
.012 × 1000 = 12 1 × 1000 = 1000
So, we get:
12/1000
Step 3: Simplify the fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 12 and 1000 is 4.
12 ÷ 4 = 3 1000 ÷ 4 = 250
So, the simplified fraction is:
3/250
Therefore, the decimal .012 is equal to the fraction 3/250.
Conclusion
In conclusion, we have successfully converted the decimal .012 to a fraction, which is 3/250. This process involves multiplying the decimal by a power of 10 to eliminate the decimal, and then simplifying the resulting fraction.
