Simplifying 0.0625
What is 0.0625?
0.0625 is a decimal number that can be simplified to a fraction. In this article, we will explore how to simplify 0.0625.
Simplifying 0.0625 to a Fraction
To simplify 0.0625, we can convert it to a fraction by dividing by a power of 10. Since 0.0625 has four decimal places, we can divide it by 10^4:
$\frac{0.0625}{10^4} = \frac{625}{10,000}$
Next, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 625 and 10,000 is 125, so we can divide both numbers by 125:
$\frac{625 \div 125}{10,000 \div 125} = \frac{5}{80}$
Simplifying the Fraction Further
We can simplify the fraction further by dividing both the numerator and the denominator by their GCD again. The GCD of 5 and 80 is 5, so we can divide both numbers by 5:
$\frac{5 \div 5}{80 \div 5} = \frac{1}{16}$
The Simplified Form of 0.0625
Therefore, the simplified form of 0.0625 is:
1/16
In conclusion, 0.0625 can be simplified to the fraction 1/16.
