Converting 0.020 to a Fraction
In this article, we will learn how to convert the decimal number 0.020 to 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, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.020 to a Fraction
To convert 0.020 to a fraction, we can use the following steps:
- Divide the decimal number by the denominator (in this case, 1).
- Count the number of decimal places in the decimal number. In this case, there are 3 decimal places (0.020).
- Multiply both the numerator and denominator by 10 to the power of the number of decimal places (10^3 = 1000).
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Let's apply these steps to 0.020:
Step 1: Divide by 1
0.020 ÷ 1 = 0.020
Step 2: Count decimal places
There are 3 decimal places in 0.020.
Step 3: Multiply by 10^3
0.020 × 1000 = 20 1 × 1000 = 1000
Step 4: Simplify
20 ÷ 20 = 1 1000 ÷ 20 = 50
So, 0.020 can be converted to a fraction as follows:
0.020 = 1/50
There you have it! We have successfully converted the decimal number 0.020 to a fraction, which is 1/50.
Conclusion
In conclusion, converting a decimal number to a fraction is a straightforward process that involves dividing, counting decimal places, multiplying, and simplifying. By following these steps, we can convert any decimal number to a fraction. In this case, we converted 0.020 to the fraction 1/50.