A simple way is to use a regular magic square and then divide each value by the same number. Dividing by a common multiple of all the number will give a magic square of fractions with all 1's as numerators
123
A normal 3x3 magic square has a sum of 15. So you subtract 3 from each number in the square.
No.
Yes, ¼ is the square of ½, 1/16 is the square of 1/4, and so on and so forth.
what is the magic square of 29
To make a fraction magic square, start by filling in the grid with fractions so that each row, column, and diagonal has the same sum. Use different fractions that have the same sum but different denominators to create a variety of solutions. You can also adjust the value of the fractions to make the magic square more challenging.
Here's an idea: Why not simply draw an ordinary 3 x 3 magic square with the numbers 1 through 9, then in each cell, draw a line under the number and add a denominator of 10. Bingo. You have a magic square comprised of the fractions 1/10 through 9/10, and the universal sum is 1.5 instead of 15. Something along those lines.
123
Magic. :D
The square roots of 81 are integers, not fractions. So there are no sensible ways to express them as fractions.
3x3 magic square 25 total
The constant is 34.
The square roots of 25 are integers, not fractions.
Just take any magic square, and multiply every number by 5. Here you will get another magic square with all numbers multiples of 5.
Think! What if the magic square had an even number of cells. There's your answer.
None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.
In an 8x8 magic square, the sum of each row, column, and diagonal is the same, known as the magic constant. For an n x n magic square, the magic constant can be calculated using the formula ( M = \frac{n(n^2 + 1)}{2} ). For an 8x8 magic square, this gives ( M = \frac{8(64 + 1)}{2} = 260 ). Therefore, the sum in the 1st row of an 8x8 magic square is 260.