0.16 as a Simplified Fraction
Introduction
When working with decimal numbers, it's often useful to convert them to simplified fractions. In this article, we'll explore how to convert 0.16 to a simplified fraction.
What is a Simplified Fraction?
A simplified fraction is a fraction that has the smallest possible integer values for both the numerator and the denominator. In other words, it's a fraction that cannot be further reduced to a simpler form.
Converting 0.16 to a Simplified Fraction
To convert 0.16 to a simplified fraction, we can follow these steps:
- Divide by the denominator: Since 0.16 has two decimal places, we can divide it by 100 to get rid of the decimal points.
0.16 ÷ 100 = 16/100
- Simplify the fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 16 and 100 is 4. So, we can divide both numbers by 4:
(16 ÷ 4) / (100 ÷ 4) = 4/25
The Simplified Fraction
And there you have it! The simplified fraction of 0.16 is 4/25.
Conclusion
In this article, we've learned how to convert 0.16 to a simplified fraction. By following the steps outlined above, you can convert any decimal number to a simplified fraction. This skill is essential in various mathematical applications, such as algebra, geometry, and more.
