Final answer:
To find the fraction that forms a proportion with 12/16, set up a proportion using the given fraction and the options given and solve to find the correct ratio. The answer is 3/4.
Step-by-step explanation:
To find which fraction forms a proportion with 12/16, we need to set up a proportion using the given fraction and the options given. The proportion should have the same ratio as 12/16.
We can set up the proportion as follows:
12/16 = x/y
Cross multiply and solve for x and y to find the fraction that forms a proportion with 12/16.
After cross multiplication, we get 16x = 12y. Dividing both sides by 16, we get x/y = 12/16.\
The fraction that forms a proportion with 12/16 is 3/4 (option a)).