0.1222 as a Fraction
Introduction
When working with decimal numbers, it's often necessary to convert them into fractions. This is especially true in mathematical operations where fractions are more intuitive and easier to work with. In this article, we'll explore how to convert the decimal number 0.1222 into a fraction.
Converting 0.1222 to a Fraction
To convert 0.1222 into a fraction, we can use the following steps:
Step 1: Identify the repeating decimal pattern
The decimal number 0.1222 has a repeating pattern of "22". This pattern will help us identify the fraction equivalent.
Step 2: Determine the fractional part
Since the decimal part of the number is 0.1222, we can write it as a fraction by dividing it by the power of 10 that corresponds to the number of decimal places.
0.1222 = 1222/10000
Step 3: Simplify the fraction
The fraction 1222/10000 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 1222 and 10000 is 2. Therefore, we can divide both the numerator and denominator by 2 to get:
611/5000
Step 4: Write the final answer
The simplified fraction equivalent of 0.1222 is:
611/5000
Conclusion
In this article, we've successfully converted the decimal number 0.1222 into a fraction. The resulting fraction is 611/5000. This conversion is useful when working with mathematical operations that require fractions, such as algebra, geometry, and trigonometry.
