Final answer:
To simplify the ratio of 12.9 to 0.6 as a fraction, multiply both numbers by 10 to get 129/6 and then simplify by dividing both terms by their GCD, which is 3, resulting in the simplified fraction of 43/2.Option C is the correct answer.
Step-by-step explanation:
To write the ratio 12.9 to 0.6 as a simplified fraction, we need to first convert the ratio to whole numbers. We can do this by eliminating the decimal points through multiplication. Multiply both 12.9 and 0.6 by 10 to transform the ratio into 129 to 6. Now, we write it as a fraction: 129/6.
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 129 and 6 is 3. Dividing 129 by 3 gives us 43, and dividing 6 by 3 gives us 2. Therefore, the simplified fraction is 43/2. Among the given options, option C) 129/6 can be further simplified to option C) 43/2, making it the correct answer.