0.16 Miles As A Fraction In Simplest Form

2 min read Jul 06, 2024
0.16 Miles As A Fraction In Simplest Form

Converting 0.16 miles to a fraction in simplest form

When working with decimals, it's often necessary to convert them to fractions to simplify calculations or to make them more intuitive. In this article, we'll explore how to convert 0.16 miles to a fraction in its simplest form.

What is 0.16 as a fraction?

To convert 0.16 to a fraction, we can start by dividing the numerator (16) by the denominator (100), since 0.16 is equivalent to 16/100:

0.16 = 16/100

However, this fraction is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of the numerator and denominator.

Simplifying the fraction

The GCD of 16 and 100 is 4. So, we can divide both the numerator and denominator by 4 to simplify the fraction:

16 ÷ 4 = 4 100 ÷ 4 = 25

Now, we can rewrite the fraction in its simplest form:

0.16 = 4/25

Conclusion

In conclusion, 0.16 miles is equivalent to the fraction 4/25 in its simplest form. This conversion can be useful in various mathematical and real-world applications, such as conversion between units or calculation of distances.