Simplifying 0.05 as a Fraction
In this article, we will explore how to simplify the decimal 0.05 as a fully simplified fraction in its simplest form.
What is a Simplified Fraction?
A simplified fraction is a fraction that has been reduced to its simplest form, where the numerator and denominator have no common factors other than 1. In other words, a simplified fraction is a fraction that cannot be further reduced or simplified.
Converting 0.05 to a Fraction
To convert the decimal 0.05 to a fraction, we can divide 0.05 by 1, which gives us:
$\frac{0.05}{1}$
Simplifying the Fraction
To simplify the fraction, we need to find the equivalent fraction with the smallest possible numerator and denominator.
0.05 can be written as:
$\frac{5}{100}$
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5.
$\frac{5 \div 5}{100 \div 5} = \frac{1}{20}$
Therefore, the fully simplified fraction of 0.05 is:
$\boxed{\frac{1}{20}}$
Conclusion
In conclusion, the decimal 0.05 can be simplified as a fraction in its simplest form as 1/20. This fraction cannot be further reduced or simplified, making it the most simplified form of 0.05.
