Question

Find the missing fraction in the magic square.

• A. $\frac{2}{11}$
• B. $\frac{3}{11}$
• C. $\frac{5}{11}$
• D. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{2}{11}$

In a magic square, the sum of the numbers in each row, column and diagonal of the square is the same.

Consider, the second row, here the sum of the numbers is $\frac{3}{11}+\frac{5}{11}+\frac{7}{11}=\frac{15}{11}$, in third row it is also $\frac{15}{11}$, in columns also the sum of the numbers in first and third is $\frac{15}{11}$. In both the diagonal also the sum of the numbers is $\frac{15}{11}.$

Now,
The missing number is
$=\frac{15}{11}-\frac{9}{11}-\frac{4}{11}$
$=\frac{15-9-4}{11}$
$=\frac{2}{11}$