Jane - blanket

Jane is knitting a blanket; so far, she has 3 1/4 meters finished. She has another 2 2/3 meters left to knit.
How long will the blanket be when finished?

Final Answer:

x =  5 ¹¹⁄₁₂ = 71/12 m

Step-by-step explanation:

$$\begin{gathered} a=3\frac{1}{4}=3+\frac{1}{4}=\frac{3\cdot 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}=3.25\text{m} \\ b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}\doteq 2.6667\text{m} \\ x=a+b=\frac{13}{4}+\frac{8}{3}=\frac{39}{12}+\frac{32}{12}=\frac{39+32}{12}=\frac{71}{12}=\frac{71}{12}\text{m}=5\frac{11}{12}\text{m}=5.9167\text{m} \end{gathered}$$

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