0.06 as a Fraction in Simplest Form
In this article, we will discuss how to convert the decimal number 0.06 into a fraction in its simplest form.
What is a Fraction?
A fraction is a way to express a part of a whole as a numerator (top number) divided by a denominator (bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.06 to a Fraction
To convert the decimal number 0.06 to a fraction, we need to find the equivalent fraction. To do this, we can divide the numerator (0.06) by the denominator (1).
Step 1: Divide the numerator by the denominator
0.06 ÷ 1 = 0.06
Step 2: Find the equivalent fraction
Since 0.06 is a decimal, we need to find the equivalent fraction. We can do this by multiplying both the numerator and denominator by 100.
0.06 × 100 = 6 1 × 100 = 100
Step 3: Write the fraction in simplest form
Now, we can write the fraction in its simplest form:
6/100
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 6 and 100 is 2.
Divide both numbers by the GCD
6 ÷ 2 = 3 100 ÷ 2 = 50
The simplified fraction is:
3/50
Therefore, the decimal number 0.06 is equivalent to the fraction 3/50 in its simplest form.
Conclusion
In this article, we have successfully converted the decimal number 0.06 to a fraction in its simplest form, which is 3/50. This process involves dividing the numerator by the denominator, finding the equivalent fraction, and simplifying the fraction by dividing both numbers by their greatest common divisor.
