.20 as a Fraction in Simplest Form
What is the fraction equivalent of .20?
To convert the decimal .20 to a fraction, we need to find the simplest form of the fraction that is equal to .20.
Step 1: Convert .20 to a fraction
To convert .20 to a fraction, we can write it as:
.20 = 20/100
Step 2: Simplify the fraction
To simplify the fraction 20/100, we need to find the greatest common divisor (GCD) of 20 and 100.
The GCD of 20 and 100 is 20.
So, we can divide both the numerator and the denominator by 20:
20 ÷ 20 = 1 100 ÷ 20 = 5
The simplest form of .20 is:
Therefore, the simplest form of .20 as a fraction is:
.20 = 1/5
In conclusion, the decimal .20 is equivalent to the fraction 1/5 in simplest form.
Why is it important to simplify fractions?
Simplifying fractions is important because it makes them easier to work with and understand. Simplifying fractions can help us to:
- Reduce the complexity of mathematical expressions
- Make calculations easier and more efficient
- Identify equivalent fractions and simplify equations
By simplifying fractions, we can make math easier and more understandable.
