0.163 bar on 63 in p/q form
In this article, we will explore the concept of converting a decimal number into a p/q form, specifically 0.163 bar on 63.
What is p/q form?
p/q form is a way of expressing a decimal number as a fraction, where p is the numerator and q is the denominator. This form is often used in mathematics to simplify complex calculations and to provide a more intuitive understanding of decimal numbers.
Converting 0.163 to p/q form
To convert 0.163 to p/q form, we need to find the numerator (p) and the denominator (q) that satisfy the following equation:
0.163 = p/q
To do this, we can use the following steps:
- Find the decimal places: Count the number of decimal places in the decimal number. In this case, 0.163 has three decimal places.
- Multiply by 10^n: Multiply the decimal number by 10 raised to the power of the number of decimal places. In this case, 10^3 = 1000.
0.163 × 1000 = 163
- Find the Greatest Common Divisor (GCD): Find the GCD of the numerator (163) and the denominator (1000).
Using the Euclidean algorithm, we find that the GCD is 1.
- Simplify the fraction: Divide both the numerator and the denominator by the GCD.
p = 163 q = 1000
0.163 bar on 63 in p/q form
Now, let's consider the decimal number 0.163, but this time, we want to express it as a fraction with a denominator of 63.
To do this, we can use the following steps:
- Find the decimal places: Count the number of decimal places in the decimal number. In this case, 0.163 has three decimal places.
- Multiply by 63: Multiply the decimal number by 63.
0.163 × 63 = 10.29
- Find the numerator and denominator: Express the result as a fraction.
p = 10 q = 63
Conclusion
In conclusion, we have successfully converted the decimal number 0.163 to p/q form with a denominator of 63. The result is:
0.163 = 10/63
This conversion can be useful in various mathematical applications, such as simplifying fractions, comparing rates, and calculating proportions.
