Which ratio below is equivalent to the ratio 9 : 180, as expressed in the table?

To determine which ratio is equivalent to the ratio 9 : 180, we first simplify this ratio.

1. Simplify 9 : 180:

– Divide both numbers by their greatest common divisor (GCD), which is 9.
– ( frac{9}{9} : frac{180}{9} = 1 : 20 )

Now we need to see which of the given options can simplify down to 1 : 20.

2. Let’s simplify each option:

A. 17 : 340

– ( frac{17}{340} = frac{1}{20} ) → Equivalent to 1 : 20

B. 17 : 320

– ( frac{17}{320} = frac{17}{320} ) → Not equivalent

C. 17 : 360

– ( frac{17}{360} = frac{17}{360} ) → Not equivalent

D. 17 : 380

– ( frac{17}{380} = frac{17}{380} ) → Not equivalent

The correct answer is A. 17 : 340 because it simplifies to the same ratio as 9 : 180. Keep up the great work! If you have more questions or need further assistance, feel free to ask!