A carpenter 2

A carpenter was able to collect pieces of wood with a length of 10¼ meters, 9 5/12 meters, and 8⅓. How many meters of wood does the carpenter have?

Correct answer:

x =  28 m

Step-by-step explanation:

$$\begin{gathered} a=10\frac{1}{4}=10+\frac{1}{4}=\frac{10\cdot 4+1}{4}=\frac{40+1}{4}=\frac{41}{4}=10.25\text{m} \\ b=9\frac{5}{12}=9+\frac{5}{12}=\frac{9\cdot 12+5}{12}=\frac{108+5}{12}=\frac{113}{12}\doteq 9.4167\text{m} \\ c=8\frac{1}{3}=8+\frac{1}{3}=\frac{8\cdot 3+1}{3}=\frac{24+1}{3}=\frac{25}{3}\doteq 8.3333\text{m} \\ x=a+b+c=\frac{41}{4}+\frac{113}{12}+\frac{25}{3}=\frac{123}{12}+\frac{113}{12}+\frac{100}{12}=\frac{123+113+100}{12}=\frac{336}{12}=28\text{m} \end{gathered}$$

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