Multiplying Fractions · Challenge problem

Of the $24$ hours in a day, Jada sleeps for $\dfrac{1}{3}$ of them. She spends $\dfrac{3}{8}$ of the hours she is awake at school. Of the time that is left after sleeping and school, she spends $\dfrac{2}{5}$ on homework and sports. How many minutes of the day are left after all of that?