Question

What is the value of `8 4/15+11 3/10`?

Answer 1

`587/30`

or

`19 17/30`

Explanation:

The first step for solving this problem is to convert the mixed fractions to improper fractions by multiplying the integer portion of the mixed fraction by the correct form of `1` and then adding this to the fraction portion of the mixed fraction:

`((8 xx 15/15) + 4/15) + (( 11 xx 10/10) + 3/10) ->`

`(120/15 + 4/15) + (110/10 + 3/10) ->`

`124/15 + 113/10`

Now, we need to put each of these fractions over a common denominator (for this problem `30`) in order to be able to add the fractions:

`(2/2 xx 124/15) + (3/3 xx 113/10) ->`

`248/15 + 339/30`

We can now add the fractions:

`(248 + 339)/30 ->`

`587/30`

or

#(570 + 17)/30 ->

`570/30 + 17/30 ->`

`19 + 17/30`

`19 17/30`