Pg 220 # 59 Is this answer given correct for the following question?If it is not correct what is the appropriate answer

Question: A quantity and its two-thirds and its half and its one-seventh together make 33. Find the quantity

Answer: 14+ ¼ + 1/56 + 1/97 + 1/194 + 1/388 + 1/679 + 1/776

1 answer

If you are seekng the number X whose 2/3rds, 1/2, and 1/7th, when added to itself = 33, then
X + 2X/3 + X/2 + X/7 = 33

Clear the denominator and you will have X.