Answer: [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Let's call the time he carried the ball: t
You know that he bounced the ball for 1/3 of his recess.
You also know that he threw the ball in the air and caught it 3/6 of the time.
Therefore, to solve the exercise you only need to add both fractions, as you can see below. Therefore, the result is:
[tex]t=[/tex][tex]\frac{1}{3}[/tex]+[tex]\frac{3}{6}[/tex]
[tex]t=[/tex][tex]\frac{5}{6}[/tex]