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:
- 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
- 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
- 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.