Question

How many hours will Alice be paid for in total?

Answer 1

Add the following hours as indicated below:

`40+5(2)/(3)\cdot1(1)/(2)`

Rewrite the mixed fractions as improper fractions.

`\begin{gathered} 40+(3(5)+2)/(3)\cdot(2(1)+1)/(2)=40+(15+2)/(3)\cdot(2+1)/(2) \\ =40+(17)/(3)\cdot(3)/(2) \end{gathered}`

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.

`\begin{gathered} 40+\frac{17}{\cancel{3}}\cdot\frac{\cancel{3}}{2}=40+(17)/(1)\cdot(1)/(2) \\ =40+(17)/(2) \end{gathered}`

Rewrite the fraction as mixed fractions and then add the whole numbers.

`40+8(1)/(2)=48(1)/(2)`