Final answer:
To subtract the mixed numbers 232 - 11², convert them into improper fractions, find a common denominator, subtract the fractions, and simplify the result to obtain the answer as a mixed number.
Step-by-step explanation:
To subtract the mixed numbers 232 - 11², we need to convert them into improper fractions first. 232 can be written as 232/1, and 11² can be written as 11 + 1/2. Now, we have to find a common denominator to subtract the fractions.
As 1/2 already has a denominator of 2, we can rewrite 232 as 232/1 * 2/2, which gives us 464/2. Now we can subtract the two fractions:
464/2 - 11/2 = (464-11)/2 = 453/2.
This fraction can be simplified because 453 and 2 are both divisible by 3, so the simplified answer is 151/2 as a mixed number.
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