0.138 Inches In Fractions

2 min read Jul 05, 2024
0.138 Inches In Fractions

0.138 Inches in Fractions: A Conversion Guide

When working with measurements, it's often necessary to convert decimals to fractions. In this article, we'll explore how to convert 0.138 inches to a fraction.

What is 0.138 inches in fractions?

The decimal value 0.138 can be converted to a fraction by dividing the numerator (138) by the denominator (1000). This can be written as:

0.138 = 69/500

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 23.

0.138 = 3/11

So, 0.138 inches is equivalent to the fraction 3/11.

Why convert decimals to fractions?

Converting decimals to fractions can be helpful in various mathematical operations, such as:

  • Simplifying calculations: Fractions can make calculations easier to understand and perform, especially when working with mixed numbers or ratios.
  • Improving accuracy: Decimals can be prone to rounding errors, while fractions provide an exact representation of a value.
  • Enhancing understanding: Fractions can help visualize relationships between numbers, making it easier to comprehend complex mathematical concepts.

Conclusion

In conclusion, converting 0.138 inches to a fraction yields the result 3/11. Understanding how to convert decimals to fractions can simplify mathematical operations, improve accuracy, and enhance understanding of mathematical concepts.

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