Converting 0.0032 bar to p/q form
In mathematics, a rational number is a number that can be expressed as the ratio of two integers, i.e., p/q, where p and q are integers and q is non-zero. In this article, we will explore how to convert the decimal number 0.0032 bar to its equivalent p/q form.
What is p/q form?
The p/q form, also known as the rational form, is a way to express a number as a ratio of two integers. This form is useful in various mathematical operations, such as adding, subtracting, multiplying, and dividing fractions.
Converting 0.0032 to p/q form
To convert 0.0032 to p/q form, we need to find the numerator (p) and the denominator (q) of the equivalent fraction.
Step 1: Multiply by 1000
To get rid of the decimal point, we multiply 0.0032 by 1000, which gives us:
0.0032 × 1000 = 3.2
Step 2: Express as a fraction
Now, we can express 3.2 as a fraction by dividing it by 1:
3.2 = 32/10
Step 3: Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case:
32 ÷ 2 = 16 10 ÷ 2 = 5
So, the simplified fraction is:
16/5
Result
Therefore, the decimal number 0.0032 in p/q form is:
16/5
This is the equivalent rational form of the original decimal number.