Step-by-step explanation:
what is to be done ? just that addition ?
first, let's all bring to pure fractions.
7 2/3 = (7×3 + 2)/3 = 23/3
2 1/5 = (2×5 + 1)/5 = 11/5
then let's bring all to a common denominator (bottom part of the fraction).
for this, we need to find the first (or any) common multiple of the 2 denominators (here 3 and 5).
if you have no other idea, just multiply them with each other (in our case here this is also the smallest common multiple) : 3×5 = 15.
so, we bring both fractions into the form of .../15. then it is easy to add them.
23/3 = x/15
x = 23/3 × 15 = 23×15/3 = 23×5 = 115
=>
23/3 = 115/15
11/5 = x/15
x = 11/5 × 15 = 11×15/5 = 11×3 = 33
=>
11/5 = 33/15
now the addition :
115/15 + 33/15 = 148/15 or 9 13/15
this is the result, as it cannot be further simplified.
