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To divide 85 by 2 1/2, you need to convert the mixed number 2 1/2 into an improper fraction.
First, multiply the whole number (2) by the denominator of the fraction (2): 2 * 2 = 4
Then add the numerator (1) to get the new numerator: 4 + 1 = 5
So, 2 1/2 as an improper fraction is 5/2.
Now that you have converted 2 1/2 to 5/2, you can divide 85 by 5/2.
When you divide by a fraction, you flip the divisor (5/2) and then multiply.
85 รท 5/2 can be rewritten as 85 * 2/5.
Multiplying 85 by 2 and then dividing by 5:
85 * 2 = 170
170 รท 5 = 34
Therefore, 85 divided by 2 1/2 equals 34.