Converting 0.005 into a Fraction
Converting a decimal number into a fraction is a crucial concept in mathematics. In this article, we will explore how to convert the decimal number 0.005 into a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half of a whole.
Converting 0.005 into a Fraction
To convert 0.005 into a fraction, we need to find the equivalent ratio of two numbers. There are a few steps to follow:
Step 1: Divide 0.005 by 1
Divide 0.005 by 1 to get:
0.005 ÷ 1 = 0.005
Step 2: Multiply by 1000
Multiply 0.005 by 1000 to get:
0.005 × 1000 = 5
Step 3: Write as a Fraction
Write the result as a fraction:
5/1000
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 5 and 1000 is 5.
5 ÷ 5 = 1 1000 ÷ 5 = 200
So, the simplified fraction is:
1/200
Therefore, the decimal number 0.005 is equivalent to the fraction 1/200.
Conclusion
In conclusion, converting a decimal number into a fraction is a straightforward process. By following the steps outlined above, we can convert 0.005 into a fraction, which is 1/200. Understanding fractions is essential in mathematics, and being able to convert decimals into fractions is a valuable skill to have.
