Converting 0.156 to a Fraction
In this article, we will learn how to convert the decimal number 0.156 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 3/4 represents three equal parts out of a total of four parts.
Converting 0.156 to a Fraction
To convert the decimal number 0.156 to a fraction, we can use the following steps:
Step 1: Divide the Decimal Number by the Denominator
First, we need to divide the decimal number 0.156 by a power of 10, which is 1000 in this case, since there are three decimal places.
0.156 ÷ 1000 = 156/1000
Step 2: Simplify the Fraction
Next, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 156 and 1000 is 4. So, we divide both numbers by 4:
(156 ÷ 4) / (1000 ÷ 4) = 39/250
The Result
Therefore, the decimal number 0.156 is equal to the fraction 39/250.
Conclusion
In this article, we have learned how to convert the decimal number 0.156 to a fraction. By following the steps outlined above, we can convert any decimal number to a fraction. This is an important concept in mathematics, as it allows us to express decimal numbers in a more simplified form.
