Jeremy

Jeremy practiced the piano for 1 and 3/4 hours during the week. He practiced 1 and 1/3 hours less during the week than over the weekend. How long did he practice the piano over the weekend?

Correct answer:

x =  3 h

Step-by-step explanation:

$$\begin{gathered} a=1\frac{3}{4}=1+\frac{3}{4}=\frac{1\cdot 4+3}{4}=\frac{4+3}{4}=\frac{7}{4}=1.75\text{h} \\ b=1\frac{1}{4}=1+\frac{1}{4}=\frac{1\cdot 4+1}{4}=\frac{4+1}{4}=\frac{5}{4}=1.25\text{h} \\ x=a+b=\frac{7}{4}+\frac{5}{4}=\frac{7+5}{4}=\frac{12}{4}=3\text{h} \end{gathered}$$

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