Converting 0.675 to p/q Form
In this article, we will explore how to convert the decimal number 0.675 to its equivalent p/q form, also known as a fraction.
What is p/q Form?
In mathematics, p/q form refers to a fraction where p is the numerator and q is the denominator. For example, 3/4 is in p/q form where 3 is the numerator and 4 is the denominator.
Converting 0.675 to p/q Form
To convert 0.675 to p/q form, we need to find the numerator and denominator that will give us the same decimal value.
Step 1: Divide by the Denominator
Let's assume the denominator (q) is 1, and divide 0.675 by 1:
0.675 ÷ 1 = 0.675
Step 2: Multiply by 1000
To get rid of the decimal point, we multiply 0.675 by 1000:
0.675 × 1000 = 675
Now, we have an integer value.
Step 3: Find the Greatest Common Divisor (GCD)
Find the GCD of 675 and 1000 using the Euclidean algorithm or any other method:
GCD(675, 1000) = 25
Step 4: Simplify the Fraction
Divide both the numerator and the denominator by the GCD:
675 ÷ 25 = 27 1000 ÷ 25 = 40
So, the simplified fraction is:
27/40
Therefore, the decimal number 0.675 is equal to 27/40 in p/q form.
Conclusion
In this article, we successfully converted the decimal number 0.675 to its equivalent p/q form, which is 27/40. This process can be applied to any decimal number to convert it to a fraction in p/q form.
