Explanation:
first step : convert both terms into real fractions (not mixed numbers).
second step : bring both fractions to the same denominator (bottom part).
third step : perform the addition.
1.
2 2/3 = (2×3 + 2)/3 = 8/3
2 1/6 = (2×6 + 1)/6 = 13/6
2.
we bring both fractions to .../6.
remember, we need to do the same multiplication for the numerator and the denominator to keep the overall value of the fraction unchanged.
to get from 3 to 6 we need to multiply by 2.
so,
8/3 = 8/3 × 2/2 = 16/6
3.
16/6 + 13/6 = 29/6
if you want to convert this to mixed numbers, this would be
29/6 = (4×6 + 5)/6 = 4 5/6