- Convert all fractions to a common denominator (18):
- 1/9 = 2/18
- 1/2 = 9/18
- 1/3 = 6/18
- 2/9 = 4/18
- Sum the known values in the middle column: 9/18 + 6/18 + 4/18 = 19/18.
- Since it’s a magic square, every row, column, and diagonal must sum to the same “Magic Number.” The middle column already sums to 19/18, so the Magic Number is 19/18.
- Verify by completing the square:
- First row: 2/18 + 9/18 + x = 19/18 → x = 8/18 = 4/9.
- Third row: y + 4/18 + z = 19/18 → y + z = 15/18.
- Middle row: a + 6/18 + b = 19/18 → a + b = 13/18.
- Diagonals and other columns can be filled consistently to confirm the magic number holds.
Magic Number = 19/18
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheet riddle 32.
