0.138 In Fraction

2 min read Jul 05, 2024
0.138 In Fraction

0.138 in Fraction: A Simplified Explanation

What is 0.138 in Fraction Form?

The decimal number 0.138 can be converted to a fraction. But before we dive into the answer, let's understand what a fraction is.

What is a Fraction?

A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.

Converting 0.138 to a Fraction

To convert 0.138 to a fraction, we can follow these steps:

  1. Divide the numerator by the denominator: In this case, we can set the numerator as 138 and the denominator as 1000, since 0.138 = 138/1000.
  2. 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 138 and 1000 is 2. So, we can divide both numbers by 2:

138 ÷ 2 = 69 1000 ÷ 2 = 500

This gives us the simplified fraction:

69/500

So, 0.138 in fraction form is equal to 69/500.

Conclusion

In conclusion, we have successfully converted the decimal number 0.138 to a fraction, which is 69/500. Fractions are an essential part of mathematics, and understanding how to convert decimals to fractions can help you in various mathematical operations.