Add the following hours as indicated below:
[tex]40+5\frac{2}{3}\cdot1\frac{1}{2}[/tex]
Rewrite the mixed fractions as improper fractions.
[tex]\begin{gathered} 40+\frac{3(5)+2}{3}\cdot\frac{2(1)+1}{2}=40+\frac{15+2}{3}\cdot\frac{2+1}{2} \\ =40+\frac{17}{3}\cdot\frac{3}{2} \end{gathered}[/tex]
Multiply the two fractions. Cancel the common factor from the numerator and the denominator and then multiply the remaining numerators and multiply the remaining denominators.
[tex]\begin{gathered} 40+\frac{17}{\cancel{3}}\cdot\frac{\cancel{3}}{2}=40+\frac{17}{1}\cdot\frac{1}{2} \\ =40+\frac{17}{2} \end{gathered}[/tex]
Rewrite the fraction as mixed fractions and then add the whole numbers.
[tex]40+8\frac{1}{2}=48\frac{1}{2}[/tex]
