Can You Find The Sum?

Relevant wiki: Adding Fractions

Add up the fractions in pairs as shown above, and we can see that all the paired sum is 1.

Since there is 5 paired sum of 1, then the answer is $5\times1=\boxed5$ .

Calculate the sum of the diagonals (fractions with the same denominators) first, then add them to get the answer:

$\frac {1}{2} = 0.5$

$\frac {1 + 2}{3} = \frac {3}{3} = 1$

$\frac {1 + 2 + 3}{4} = \frac {6}{4} = 1.5$

$\frac {1 + 2 + 3 + 4}{5} = \frac {10}{5} = 2$

$0.5 + 1 + 1.5 + 2 = \boxed {5}$