Final answer:
To find the value of ?+59 5/8= 82 2/3, subtract 59 5/8 from 82 2/3. Convert the mixed numbers to improper fractions and find a common denominator to subtract the fractions. The answer is -23 17/24.
Step-by-step explanation:
To find the value of ?+59 5/8= 82 2/3, we need to subtract 59 5/8 from 82 2/3. Let's convert the mixed numbers to improper fractions first. 59 5/8 is equal to (8*59+5)/8 = 473/8, and 82 2/3 is equal to (3*82+2)/3 = 248/3. Now, we can subtract the fractions by finding a common denominator, which in this case is 24.
473/8 - 248/3 = (473*3)/(8*3) - (248*8)/(3*8) = 1419/24 - 1984/24 = (1419-1984)/24 = -565/24.
Therefore, the answer is -565/24. If you need to convert this back to a mixed number, you can divide 565 by 24 to get a quotient of -23 and a remainder of 17, so the final answer is -23 17/24.