The book 4

Mr. Kinion read 3 3/4 chapters in his book on Monday. He then read 2 4/6 more chapters on Tuesday. How many chapters has he read so far?

Correct answer:

x =  6 ⁵⁄₁₂ = 77/12

Step-by-step explanation:

$$\begin{gathered} a=3\frac{3}{4}=3+\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}=3\frac{3}{4}=3.75 \\ b=2\frac{4}{6}=2+\frac{4}{6}=\frac{2\cdot 6+4}{6}=\frac{12+4}{6}=\frac{16}{6}=\frac{8}{3}=2\frac{2}{3}\doteq 2.6667 \\ x=a+b=\frac{15}{4}+\frac{8}{3}=\frac{45}{12}+\frac{32}{12}=\frac{45+32}{12}=\frac{77}{12}=6\frac{5}{12}=6.4167 \end{gathered}$$

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