Seamus

Seamus plays outside for five and five-sixths hours every week. He has already played outside for four and three-sixths hours. How many hours does he have left to play?

Correct answer:

x =  1 ¹⁄₃ = 4/3 h

Step-by-step explanation:

$$\begin{gathered} a=5\frac{5}{6}=5+\frac{5}{6}=\frac{5\cdot 6+5}{6}=\frac{30+5}{6}=\frac{35}{6}\doteq 5.8333\text{h} \\ b=4\frac{3}{6}=4+\frac{3}{6}=\frac{4\cdot 6+3}{6}=\frac{24+3}{6}=\frac{27}{6}=\frac{9}{2}=4.5\text{h} \\ x=a-b=\frac{35}{6}-\frac{9}{2}=\frac{35}{6}-\frac{27}{6}=\frac{35-27}{6}=\frac{8}{6}=\frac{4}{3}\text{h}=1\frac{1}{3}\text{h}=1.3333\text{h} \end{gathered}$$

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