0.138 Written as a Fraction
Introduction
Decimals and fractions are two different ways to represent numbers. While decimals are used to express numbers with a fractional part, fractions are used to express numbers as a ratio of two integers. In this article, we will explore how to write the decimal 0.138 as a fraction.
Converting 0.138 to a Fraction
To convert a decimal to a fraction, we need to divide the decimal part by a power of 10. In this case, we have 0.138, which has three digits after the decimal point. Therefore, we will divide 138 by 1000 (10^3).
0.138 = 138/1000
Next, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Simplifying the Fraction
The GCD of 138 and 1000 is 2. Therefore, we can divide both the numerator and the denominator by 2.
138/1000 = 69/500
The resulting fraction is the simplest form of 0.138 as a fraction.
Conclusion
In conclusion, the decimal 0.138 can be written as a fraction in its simplest form as 69/500. This conversion is useful in various mathematical operations, such as addition, subtraction, multiplication, and division, where fractions are required.
