Answer :

To simplify the ratio 6:12 to its simplest form, we need to follow these steps:

1. Identify the Greatest Common Divisor (GCD):
- First, find the greatest common divisor of the numbers 6 and 12. The GCD of 6 and 12 is 6.

2. Simplify the Ratio:
- To simplify the ratio, we divide both numbers (the numerator and the denominator) by their GCD.
- Dividing the numerator (6) by the GCD (6) gives us [tex]\(6 \div 6 = 1\)[/tex].
- Dividing the denominator (12) by the GCD (6) gives us [tex]\(12 \div 6 = 2\)[/tex].

3. Write the Simplified Ratio:
- The simplified ratio is 1:2.

Thus, the ratio 6:12 simplified is 1:2, which is not listed in the multiple-choice options provided. However, among the choices given, none represents the simplified form of the ratio 6:12. Therefore, the correct answer should be specifically noted in the proper form of 1:2.

None of the given options (OA, OB, OC, OD) correctly represent the simplified ratio.