Question 614715
First, you need to get all terms expressed with a common denominator. So taking your first problem as an example:

{{{6 + 1/6}}}

The first term can be rewritten as 36/6 since 36 divided by 6 is equal to 6, so you have the following:

{{{36/6 + 1/6}}}

Now you can combine those fractions and add the numerators since the fractions share the same denominator (6 in this example).

{{{36 / 6 + 1/6}}}

={{{(36 + 1) / 6}}}

={{{37/6}}}

And since 37 and 6 are relatively prime (the greatest common divisor of 37 and 6 is one), you cannot reduce the answer any further, so 37/6 is the answer for that problem.


Similarly, for the second problem you need to express both fractions in terms of a common denominator, add the numerators and combine the fractions and finally reduce the fraction if possible:

{{{-1/3 + 3/8}}}

={{{-8/24 + 9/24}}}

={{{(-8 + 9) / 24}}}

={{{1/24}}}