Simplifying the Fraction 0.06/100
In this article, we will explore how to simplify the fraction 0.06/100.
What is Simplifying a Fraction?
Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator are as small as possible. This is done by dividing both the numerator and denominator by their greatest common divisor (GCD).
Simplifying 0.06/100
To simplify the fraction 0.06/100, we need to find the GCD of 0.06 and 100.
Step 1: Convert 0.06 to a Fraction
First, we need to convert the decimal 0.06 to a fraction. To do this, we can divide 0.06 by 1, which gives us:
0.06 = 6/100
Step 2: Find the GCD of 6 and 100
Next, we need to find the GCD of 6 and 100. The factors of 6 are 1, 2, 3, and 6, while the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The GCD of 6 and 100 is 2.
Step 3: Divide Both Numerator and Denominator by the GCD
Now, we can divide both the numerator and denominator by the GCD, which is 2.
6 ÷ 2 = 3 100 ÷ 2 = 50
Simplified Fraction
The simplified fraction is:
3/50
Therefore, the simplified form of the fraction 0.06/100 is 3/50.
