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Write the following comparison as a ratio in simplest form using a fraction and a colon:

198 cents to 234 cents.

A. \( \frac{11}{13} \) or 11:13 or 11 to 13
B. \( \frac{13}{11} \) or 13:11 or 13 to 11
C. \( \frac{198}{234} \) or 198:234 or 198 to 234
D. \( \frac{11}{234} \) or 11:234 or 11 to 234
E. \( \frac{234}{198} \) or 234:198 or 234 to 198

Answer :

Final answer:

The simplest form of the ratio 198 cents to 234 cents is 22 to 26, 22:26, or 22/26 after using the common factor of 9 to simplify it.

Explanation:

The question is asking to simplify the comparison of 198 cents to 234 cents into the simplest form by using a fraction, a colon, or the word 'to'.

First, we can write it as 198/234. Now, it is time to simplify it. To do so, it's necessary to identify a number that can divide both 198 and 234 without a remainder. Upon inspection, we'll find that both numbers can be divided by 9 without a remainder.

198 ÷ 9 = 22

234 ÷ 9 = 26

So the simplified ratio in fraction form is 22/26. Written with a colon it would be 22:26, and using the word 'to', it would be 22 to 26.

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