0.4 as a Common Fraction ================----------
Introduction
In mathematics, a common fraction is a way of expressing a part of a whole as a ratio of two integers. It is also known as a simple fraction or a vulgar fraction. In this article, we will explore how to convert the decimal number 0.4 to a common fraction.
Converting 0.4 to a Common Fraction
To convert 0.4 to a common fraction, we can use the following steps:
- Identify the decimal part: The decimal part of the number is 0.4.
- Multiply by a power of 10: Multiply the decimal part by a power of 10 to eliminate the decimal point. In this case, we can multiply 0.4 by 10 to get 4.
- Write the fraction: Write the result as a fraction with the numerator (top number) as 4 and the denominator (bottom number) as the power of 10 used in step 2, which is 10.
Therefore, 0.4 can be written as a common fraction as:
4/10
Simplifying the Fraction
However, the fraction 4/10 can be simplified further by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 10 is 2, so we can divide both numbers by 2 to get:
2/5
Therefore, 0.4 is equal to the common fraction 2/5.
Conclusion
In conclusion, 0.4 can be converted to a common fraction by multiplying the decimal part by a power of 10 and then writing the result as a fraction. The resulting fraction can then be simplified by dividing both the numerator and the denominator by their greatest common divisor.
