Converting 0.176 to p/q Form
In this article, we will explore how to convert the decimal number 0.176 to its equivalent p/q form.
What is p/q Form?
In mathematics, p/q form refers to a fraction in which the numerator (p) and denominator (q) are integers. This form is also known as a rational number. Rational numbers can be expressed as a finite decimal or a ratio of two integers.
Converting 0.176 to p/q Form
To convert 0.176 to p/q form, we can follow these steps:
Step 1: Divide 0.176 by 1000
0.176 ÷ 1000 = 176/1000
Step 2: Simplify the fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
GCD of 176 and 1000 = 8
So, we divide both numbers by 8:
176 ÷ 8 = 22 1000 ÷ 8 = 125
Hence, the simplified fraction is:
22/125
Therefore, the p/q form of 0.176 is 22/125.
Conclusion
In this article, we have successfully converted the decimal number 0.176 to its equivalent p/q form, which is 22/125. This process involves dividing the decimal number by a power of 10 and simplifying the resulting fraction to its simplest form.
