0.147 as a Fraction
In this article, we will explore how to convert the decimal number 0.147 to a fraction.
What is a Fraction?
Before we dive into converting 0.147 to a fraction, let's briefly review what a fraction is. A fraction is a way to express a part of a whole as a ratio of two numbers: a numerator and a denominator. The numerator represents the number of equal parts being described, and the denominator represents the total number of parts.
Converting 0.147 to a Fraction
To convert 0.147 to a fraction, we can use the following steps:
Step 1: Divide the Decimal by 1
divide 0.147 by 1 to get:
0.147 ÷ 1 = 0.147
Step 2: Multiply by 1000
Multiply 0.147 by 1000 to get rid of the decimal places:
0.147 × 1000 = 147
Step 3: Write as a Fraction
Now, write the result as a fraction:
147/1000
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 147 and 1000 is 7.
147 ÷ 7 = 21 1000 ÷ 7 = 142.86
So, the simplified fraction is:
21/142.86
Conclusion
Therefore, the decimal number 0.147 can be converted to a fraction as 21/142.86.
Note that the simplified fraction is not in its simplest form, as the denominator is still a decimal number. If you need to further simplify the fraction, you can try to find the simplest form by adjusting the numerator and denominator accordingly.
