Converting 0.0625 to a Fraction
In this article, we will explore how to convert the decimal number 0.0625 to a fraction.
Step 1: Identify the Decimal Places
The decimal number 0.0625 has four decimal places. To convert it to a fraction, we need to find the equivalent fraction with a denominator that is a power of 10.
Step 2: Find the Equivalent Fraction
Since 0.0625 has four decimal places, we can write it as:
0.0625 = 625/10,000
Step 3: Simplify the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 625 and 10,000 is 125. Therefore, we can simplify the fraction as follows:
625 ÷ 125 = 5 10,000 ÷ 125 = 80
So, the simplified fraction is:
0.0625 = 5/80
Step 4: Find the Lowest Terms
We can further simplify the fraction by dividing both the numerator and the denominator by their GCD. The GCD of 5 and 80 is 5. Therefore, we can simplify the fraction as follows:
5 ÷ 5 = 1 80 ÷ 5 = 16
So, the final answer is:
0.0625 = 1/16
Therefore, the decimal number 0.0625 is equivalent to the fraction 1/16.
