0.0625 as a Simplified Fraction
What is 0.0625 as a Simplified Fraction?
The decimal number 0.0625 can be expressed as a simplified fraction. A simplified fraction is a fraction that has been reduced to its simplest form, where the numerator (the top number) and the denominator (the bottom number) have no common factors.
Converting 0.0625 to a Fraction
To convert 0.0625 to a fraction, we can divide the numerator (0.0625) by the denominator (1).
0.0625 = 0.0625/1
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 0.0625 and 1 is 0.0001.
Dividing both numbers by 0.0001 gives us:
0.0625 ÷ 0.0001 = 625 1 ÷ 0.0001 = 10000
So, the simplified fraction of 0.0625 is:
625/10000
Simplifying Further
We can simplify the fraction further by dividing both numbers by their GCD.
The GCD of 625 and 10000 is 25.
Dividing both numbers by 25 gives us:
625 ÷ 25 = 25 10000 ÷ 25 = 400
So, the further simplified fraction of 0.0625 is:
25/400
Final Simplification
We can simplify the fraction even further by dividing both numbers by their GCD.
The GCD of 25 and 400 is 25.
Dividing both numbers by 25 gives us:
25 ÷ 25 = 1 400 ÷ 25 = 16
So, the final simplified fraction of 0.0625 is:
1/16
Therefore, the simplified fraction of 0.0625 is 1/16.
