Converting 0.235 bar to p/q form
Introduction
In mathematics, rational numbers can be expressed in p/q form, where p and q are integers and q is non-zero. This form is also known as a fraction or a rational number. In this article, we will explore how to convert the decimal number 0.235 to p/q form.
What is p/q form?
The p/q form is a way to express a rational number as a fraction, where p is the numerator and q is the denominator. For example, 3/4 is in p/q form, where p = 3 and q = 4.
Converting 0.235 to p/q form
To convert 0.235 to p/q form, we can use the following steps:
Step 1: Multiply by 1000
Multiply 0.235 by 1000 to eliminate the decimal point:
0.235 × 1000 = 235
Step 2: Divide by the greatest common divisor (GCD)
Find the greatest common divisor (GCD) of 235 and 1000:
GCD(235, 1000) = 5
Now, divide both numbers by the GCD:
235 ÷ 5 = 47 1000 ÷ 5 = 200
Step 3: Write in p/q form
Write the result in p/q form:
0.235 = 47/200
Conclusion
In conclusion, we have successfully converted the decimal number 0.235 to p/q form, which is 47/200. This form is useful in various mathematical operations, such as addition, subtraction, multiplication, and division of fractions.
