0.1388 As A Fraction

2 min read Jul 05, 2024
0.1388 As A Fraction

0.1388 as a Fraction

Introduction

In this article, we will explore how to convert the decimal number 0.1388 to a fraction. Before we dive into the conversion process, let's briefly discuss what a fraction is.

What is a Fraction?

A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 means one out of two equal parts.

Converting 0.1388 to a Fraction

To convert 0.1388 to a fraction, we can use the following steps:

  1. Divide the decimal number by the power of 10: 0.1388 ÷ 10^4 = 1388
  2. Find the greatest common divisor (GCD) of the numerator and denominator: The GCD of 1388 and 10000 is 4
  3. Simplify the fraction: 1388 ÷ 4 / 10000 ÷ 4 = 347/2500

Therefore, 0.1388 as a fraction is 347/2500.

Simplifying the Fraction Further

We can simplify the fraction further by finding the greatest common divisor of the numerator and denominator again.

  • The GCD of 347 and 2500 is 1, so the fraction is already in its simplest form.

Conclusion

In conclusion, we have successfully converted the decimal number 0.1388 to a fraction, which is 347/2500. This fraction is already in its simplest form.

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