Question 389449
Generally, the first thing you want to do when working with "mixed numbers" 
(such as 1 and 1/15) is to convert them to fractions without a whole number.
To do this, we will create "improper fractions" which have numerators 
larger than the denominators. We do this by multiplying each whole number
by 1, where the 1 is represented by the denominator divided by the denominator 
of the attached fraction. It's easier to show it:

1 and 1/15 is the same as 
{{{1*(15/15) + 1/15}}}
Adding the numerators we get:
{{{16/15}}}

3 and 3/10 is the same as:
{{{3*(10/10) + 3/10}}}
{{{30/10 + 3/10}}}
{{{33/10}}}

2 and 4/5 is the same as:
{{{2*(5/5) + 4/5}}}
{{{10/5 + 4/5}}}
14/5

So, to restate the problem in improper fractions:

{{{16/15 + 33/10 + 14/5}}}

Now, to add fractions, we need to find the least common denominator.

15 has 3,5 as factors
10 has 2,5 as factors
5 has   5 as a factor

So, if we multiply 3,5, and 2 together to get 30, each of the denominators should go evenly into that number.

Put each of the terms using the least common denominator:

{{{16/15 + 33/10 - 14/5}}}

30/15 = 2
30/10 = 3
30/5 = 6

{{{(16 * 2)/(15 * 2) + (33 * 3)/(10*3) - (14 * 6)/(5 * 6)}}}
{{{32/30 + 99/30 - 84/30}}}
Since the demoninators are the same, we can combine the numerators now:

{{{(32 + 99 - 84)/30}}}
47/30

Or, converting back to a mixed number:
30/30 and 17/30
1 and 17/30