0.147 As A Common Fraction

2 min read Jul 05, 2024
0.147 As A Common Fraction

0.147 as a Common Fraction

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Introduction

In mathematics, a common fraction is a way to represent a part of a whole as a ratio of two integers. It is a simple and intuitive way to express a proportion of a quantity. In this article, we will explore how to convert the decimal number 0.147 to a common fraction.

Conversion to Common Fraction

To convert 0.147 to a common fraction, we can use the following steps:

  1. Multiply by a power of 10: Multiply 0.147 by 1000, which is a power of 10, to get rid of the decimal points.

0.147 × 1000 = 147

  1. Find the Greatest Common Divisor (GCD): Find the GCD of 147 and 1000. The GCD is the largest number that divides both numbers without leaving a remainder.

GCD(147, 1000) = 7

  1. Divide both numbers by the GCD: Divide both 147 and 1000 by their GCD, 7.

147 ÷ 7 = 21 1000 ÷ 7 = 143

Result

Therefore, 0.147 as a common fraction is:

21/143

Conclusion

In this article, we have successfully converted the decimal number 0.147 to a common fraction, which is 21/143. This fraction can be used in various mathematical calculations and applications.

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