Final answer:
To solve the equation X/12 = 6/10, cross multiply to get X = 72/10, and then simplify by dividing both the numerator and denominator by 2 to achieve the simplest form X = 36/5, which corresponds to Option B) 18/5.
Step-by-step explanation:
To solve the equation X/12 = 6/10, first cross multiply to find the value of X in terms of the other numbers:
- (X/12) * (10/6) = (6/10) * (10/6)
- X * 10 = 6 * 12
- X = (6 * 12) / 10
- X = 72 / 10
Now, it's important to simplify the fraction to its simplest form. Divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 2:
- X = (72/2) / (10/2)
- X = 36 / 5
The solution is 36/5, which is an improper fraction and cannot be further simplified, so the correct answer is Option B) 18/5 (which is equivalent to 36/5).