Converting 0.123 bar to a Fraction in p/q form
In this article, we will explore how to convert the decimal number 0.123 to a fraction in p/q form.
What is p/q form?
p/q form is a way of expressing a fraction, where p is the numerator (the top number) and q is the denominator (the bottom number). For example, 3/4 is in p/q form, where p = 3 and q = 4.
Converting 0.123 to p/q form
To convert 0.123 to p/q form, we can follow these steps:
Step 1: Divide by the denominator
Let's divide 0.123 by the denominator, which is 1:
0.123 ÷ 1 = 0.123
Step 2: Multiply by a power of 10
To get rid of the decimal point, we can multiply 0.123 by a power of 10. Let's multiply by 1000 (10^3):
0.123 × 1000 = 123
Step 3: Simplify the fraction
Now, we can write the fraction in p/q form:
123/1000
Step 4: Simplify further (if possible)
We can simplify the fraction further by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 123 and 1000 is 1, so we can't simplify it further.
Final answer
The final answer is:
0.123 = 41/333
There you have it! We have successfully converted 0.123 to a fraction in p/q form.
