Converting 0.16 to p/q Form
In this article, we will explore how to convert the decimal number 0.16 to a fraction in the p/q form.
What is p/q Form?
The p/q form is a way of expressing a fraction in its simplest form, where p and q are integers and q is not equal to zero. The p/q form is also known as the rational form of a fraction.
Converting 0.16 to p/q Form
To convert the decimal number 0.16 to a fraction in the p/q form, we can follow these steps:
Step 1: Write the decimal number as a fraction
We can write the decimal number 0.16 as a fraction by dividing the numerator (16) by the denominator (100).
0.16 = 16/100
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 16 and 100 is 4. Therefore, we can divide both the numerator and the denominator by 4.
16 ÷ 4 = 4 100 ÷ 4 = 25
So, the simplified fraction is:
0.16 = 4/25
Result
Therefore, the decimal number 0.16 can be expressed in the p/q form as:
0.16 = 4/25
In this case, p = 4 and q = 25.
I hope this helps! Let me know if you have any further questions.
