Converting 0.163 to a Fraction in p/q Form
In this article, we will explore how to convert the decimal number 0.163 to a fraction in p/q form, where p and q are integers.
Step 1: Multiply by 1000
To start, let's multiply 0.163 by 1000 to get rid of the decimal places:
0.163 × 1000 = 163
Step 2: Find the Greatest Common Divisor (GCD)
Next, we need to find the greatest common divisor (GCD) of 163 and 1000. We can use the Euclidean algorithm to find the GCD:
GCD(163, 1000) = 1
Since the GCD is 1, the number 163 is already in its simplest form.
Step 3: Write the Fraction in p/q Form
Now, we can write the fraction in p/q form:
0.163 = 163/1000
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 1:
0.163 = 163/1000
So, the decimal number 0.163 is equal to the fraction 163/1000 in p/q form.
Conclusion
In this article, we have successfully converted the decimal number 0.163 to a fraction in p/q form, which is 163/1000. This fraction can be used in various mathematical calculations and applications.
