Simplifying a Decimal: 0.015 in its Simplest Fraction
In mathematics, decimals and fractions are two different ways to represent numbers. While decimals are represented using a point and digits, fractions are represented using a numerator and a denominator. In this article, we will explore how to simplify the decimal 0.015 into its simplest fraction form.
What is the Decimal 0.015?
The decimal 0.015 is a small positive number that can be represented on the number line. It can be written in expanded form as:
0.015 = 0.0 + 0.01 + 0.005
Converting 0.015 to a Fraction
To convert the decimal 0.015 to a fraction, we can use the following steps:
- Divide 0.015 by 1: 0.015 ÷ 1 = 0.015
- Multiply both the numerator and the denominator by 1000 to eliminate the decimal point: (0.015 × 1000) / (1 × 1000) = 15 / 1000
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD): GCD(15, 1000) = 5
So, 15 ÷ 5 = 3 and 1000 ÷ 5 = 200
Therefore, the simplest fraction form of 0.015 is:
0.015 = 3/200
Conclusion
In conclusion, we have successfully simplified the decimal 0.015 into its simplest fraction form, which is 3/200. This fraction can be used in various mathematical operations, such as addition, subtraction, multiplication, and division, making it easier to work with fractions in mathematics.
