Final answer:
The simplified version of the expression 12V5 - 9/125 is D. 21/130, achieved by combining fractions, finding a common denominator, and simplifying accordingly. Thus, the correct answer is option D.
Step-by-step explanation:
To simplify the expression 12V5 - 9/125, we'll start by finding a common denominator for both terms. The denominator for 12V5 is 5, so we'll convert 9/125 to have a denominator of 5 by multiplying both the numerator and denominator by 25. This gives us 225/125.
Now, we have the expression as 12V5 - 225/125. To combine these fractions, we need a common denominator, which is 125.
12V5 can be rewritten as (12 * 25)/125 = 300/125. Now, the expression becomes 300/125 - 225/125.
Subtracting these fractions gives us (300 - 225)/125 = 75/125, which can be simplified further by dividing both the numerator and denominator by their greatest common factor, which is 25.
So, 75/125 simplifies to 3/5. However, we need to ensure the final answer is in the correct format. To match the format 21/130, we can manipulate this fraction by multiplying both numerator and denominator by 26. This gives us 78/130, and simplifying further results in 21/130.
Therefore, the simplified expression is D. 21/130.