Converting 0.0625 to a Fraction in Simplest Form
Introduction
When dealing with decimal numbers, it's often necessary to convert them to fractions in simplest form. In this article, we'll explore how to convert the decimal number 0.0625 to a fraction in simplest form.
Step-by-Step Conversion
To convert 0.0625 to a fraction, we can follow these steps:
Step 1: Divide by 10
First, we'll divide 0.0625 by 10, which gives us:
0.0625 ÷ 10 = 0.00625
Step 2: Count the Decimal Places
Next, we'll count the number of decimal places in the original number, which is 4.
Step 3: Multiply by 10^4
We'll multiply 0.00625 by 10^4, which gives us:
0.00625 × 10^4 = 625/10^4
Step 4: Simplify the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 25.
(625 ÷ 25) / (10^4 ÷ 25) = 25/400
Step 5: Simplify Further
We can further simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 25.
(25 ÷ 25) / (400 ÷ 25) = 1/16
Result
Therefore, the decimal number 0.0625 can be converted to a fraction in simplest form as:
0.0625 = 1/16
This is the simplest form of the fraction, with a numerator of 1 and a denominator of 16.
