Converting 0.123 to p/q Form and Finding the Bar on 3 ================================================================ =
In this article, we will explore how to convert the decimal number 0.123 to its equivalent p/q form and find the bar on 3.
What is p/q Form?
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, the decimal number 0.5 can be expressed in p/q form as 1/2.
Converting 0.123 to p/q Form
To convert 0.123 to p/q form, we can use the following steps:
Step 1: Multiply by 1000
Multiply 0.123 by 1000 to get rid of the decimal point:
0.123 × 1000 = 123
Step 2: Divide by the Greatest Common Divisor (GCD)
Find the GCD of 123 and 1000, which is 1. Since the GCD is 1, we can divide both numbers by 1:
123 ÷ 1 = 123 1000 ÷ 1 = 1000
Step 3: Write in p/q Form
Now, we can write 0.123 in p/q form as:
123/1000
Finding the Bar on 3
To find the bar on 3, we can divide 123 by 3:
123 ÷ 3 = 41
So, the bar on 3 is 41.
Conclusion
In this article, we have successfully converted 0.123 to its equivalent p/q form, which is 123/1000, and found the bar on 3, which is 41. These concepts are essential in mathematics, and understanding them can help you solve various problems in arithmetic and algebra.
I hope this helps! Let me know if you have any questions or need further clarification.
