Which ratio below is equivalent to the ratio 9 : 180, as expressed in the table?
17 : 360, 17 : 320, 17 : 380, 17 : 340
Choose the correct answer below.
A. 17 : 340
B. 17 : 320
C. 17 : 360
D. 17 : 380
Which ratio below is equivalent to the ratio 9 : 180, as expressed in the table?
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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!