0.16 Repeating as a Fraction in Simplest Form
The decimal 0.16 is a repeating decimal, which means it has an infinite number of zeros and sixes that repeat indefinitely. But how can we express this decimal as a fraction in its simplest form? In this article, we will explore the process of converting 0.16 to a fraction.
Converting 0.16 to a Fraction
To convert 0.16 to a fraction, we can use the following steps:
- Write the decimal as a fraction with a denominator of 100:
0.16 = 16/100
- Simplify the fraction by dividing both numerator and 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
The Simplest Form of 0.16 as a Fraction
Therefore, the simplest form of 0.16 as a fraction is:
4/25
This fraction is in its simplest form because the numerator and denominator have no common factors other than 1.
In conclusion, we have successfully converted the repeating decimal 0.16 to a fraction in its simplest form, which is 4/25.
