0.050 Decimal as a Fraction
In this article, we will explore how to convert the decimal 0.050 to a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole as a numerical value. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting 0.050 to a Fraction
To convert the decimal 0.050 to a fraction, we can use the following steps:
Step 1: Write the Decimal as a Fraction with a Denominator of 1
We can write the decimal 0.050 as a fraction with a denominator of 1:
0.050 = 50/1000
Step 2: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 50 and 1000 is 10. Therefore, we can divide both numbers by 10:
50 ÷ 10 = 5 1000 ÷ 10 = 100
So, the simplified fraction is:
0.050 = 5/100
Step 3: Simplify the Fraction Further (Optional)
We can further simplify the fraction by dividing both the numerator and the denominator by their GCD again. The GCD of 5 and 100 is 5. Therefore, we can divide both numbers by 5:
5 ÷ 5 = 1 100 ÷ 5 = 20
So, the fully simplified fraction is:
0.050 = 1/20
Conclusion
In conclusion, the decimal 0.050 can be converted to a fraction as follows:
0.050 = 50/1000 = 5/100 = 1/20
The fully simplified fraction is 1/20.
