Play video game

Tyson plays video games about 2 1/2 times more than the average kid. His mother thinks that he should cut down on his playing time by 1/4 of the time. How will Tyson's gaming compare to the average kid's if he makes this change?

Correct answer:

b =  1 ⁷⁄₈ = 15/8

Step-by-step explanation:

$$\begin{gathered} a=2\frac{1}{2}=2+\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}=2\frac{1}{2}=2.5 \\ b=a\cdot \frac{3}{4}=\frac{5}{2}\cdot \frac{3}{4}=\frac{5\cdot 3}{2\cdot 4}=\frac{15}{8}=1\frac{7}{8}=1.875 \end{gathered}$$

Try another example