Question

Math when is the sum of two negative mixed numbers an integer

Answer 1

The short answer is: when their fractions add up to full integers.

For examples, two halves make up a whole, or

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

so the mixed numbers with those will add up to full integers:

$-12\frac{1}{2} + (-3\frac{1}{2})=(-(12+3+1)=-16$

but if they don't add up to an interger, the whole sum won't be an integer:


$-12\frac{3}{4} + (-3\frac{3}{4})=(-(12+3+1\frac{1}{2})=-16\frac{1}{2}$