4 2/3 + 5 1/5
First we have to put it all over the same denominator (denominator = the number on the bottom of a fraction)
So, 4 2/3 = 4 + 2/3 = (4x3)/3 + 2/3 = 12/3 + 2/3 = (12 + 2) / 3 = 14/3
And, 5 1/5 = 5 + 1/5 = (5x5)/5 + 1/5 = 25/5 + 1/5 = (25 + 5) / 5 = 30/5
So,
4 2/3 + 5 1/5 = 14/3 + 30/5
Now we need to put this all over the same denominator:
14/3 + 30/5 = (14x5)/(3x5) + (30x3)/(5x3) = 70/15 + 90/15 = (70 + 90) / 15 = 160/15
This can then be further simplified by noticing that 160 and 15 both have a common factor (common factor = a number that they can both be divided by).
In this case the common factor is 5. So,
160/15 = (32x5) / (3x5)
The 5 on the top and bottom of the fractions can then be cancelled out as, 5/5 = 1
So this leaves the final answer as:
4 2/3 + 5 1/5 = 32/3