0.16 as a Fraction in its Simplest Form
Introduction
Decimal numbers are widely used in our daily lives, but sometimes it's necessary to express them as fractions. In this article, we will explore how to convert 0.16 to a fraction in its simplest form.
Converting 0.16 to a Fraction
To convert a decimal number to a fraction, we need to divide the decimal part by a power of 10. In this case, we have:
0.16 = 16/100
Simplifying the Fraction
The resulting fraction 16/100 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 16 and 100 is 4. Therefore, we can simplify the fraction as follows:
16 ÷ 4 = 4 100 ÷ 4 = 25
So, the simplified fraction is:
4/25
Conclusion
In conclusion, the decimal number 0.16 can be expressed as a fraction in its simplest form as 4/25. This conversion is essential in various mathematical calculations and applications.