Step-by-step explanation:
Lets convert 1 1/3 into improper fraction.
[tex]1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} \\ = \frac{4}{3} [/tex]
Since Randy studied half the above time,
Randy Studied:
[tex] \frac{1}{2} \times \frac{4}{3} \\ = \frac{1 \times 4}{2 \times 3} \\ = \frac{4 \div 2}{6 \div 2} \\ = \frac{2}{3} hours[/tex]