Question

At India Arcade, $\frac{2}{3}$ of the games are racing games. Among the racing games, $\frac{1}{2}$ are motorcycle-racing games. What fraction of the games at India Arcade are motorcycle-racing games?

Answer 1

Fraction of racing games in India = $\frac{2}{3}$of the games.

Number of motorcycle-racing games $=\frac{1}{2}$of racing games in India

Therefore, Number of motorcycle-racing games $=\frac{1}{2}\times \frac{2}{3}$

$=\frac{1}{\cancel{2}}\times \frac{\cancel{2}}{3}$

Hence, number of motorcycle-racing games $=\frac{1}{3}$