Converting 0.156 to a Fraction
In this article, we will explore 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 numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half, where the numerator is 1 and the denominator is 2.
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 number of decimal places
In this case, we have two decimal places (0.156), so we can divide the number by 1000.
0.156 ÷ 1000 = 156/1000
Step 2: Simplify the fraction
We can 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 can divide both numbers by 4:
156 ÷ 4 = 39 1000 ÷ 4 = 250
Now, we have the simplified fraction:
39/250
Therefore, the decimal number 0.156 is equivalent to the fraction 39/250.
Conclusion
In this article, we have learned how to convert the decimal number 0.156 to a fraction using a simple two-step process. By dividing the decimal number by the number of decimal places and simplifying the resulting fraction, we can obtain the equivalent fraction, which in this case is 39/250.