4/5 + 11/12
To add fractions they must have the same denominator (bottom number)
Let's change the denominators of our fractions to something else.
This new denominator should be divisible by the old ones (5 and 12)
Let's just use 5 × 12 = 60 as our denominator.
To get 4/5 to a denominator of 60--
The top and bottom of any fraction can be multiplied by the same number to get an equal fraction and essentially change the denominator.
We want to multiply 5 by something to get 60...
let's multiply the top and bottom of 4/5 by 12.
4/5 = 48/60
Now, 11/12.
We need to mulitply the top and bottom by 5 to get the bottom to 60.
55/60
Now instead of
4/5 + 11/12
we have
48/60 + 55/60
Let's add the numerators (top numbers).
(48+55)/60
103/60
If you need your answer as a mixed number:
103/60
60/60 + 43/60
[tex]\boxed{1\frac{43}{60}}[/tex]
