Erie had

Erie had 2 3/4 feet of snow in January and 1 5/6 feet of snow in February. Buffalo had 2 1/2 feet of snow in January and 1 2/3 feet of snow in February. How many times more snow did Erie have than Buffalo?

Correct answer:

n =  1 ¹⁄₁₀ = 11/10

Step-by-step explanation:

$$\begin{gathered} e_1=2\frac{3}{4}=2+\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2\frac{3}{4}=2.75\text{ft} \\ {e}_2=1\frac{5}{6}=1+\frac{5}{6}=\frac{1\cdot 6+5}{6}=\frac{6+5}{6}=\frac{11}{6}=1\frac{5}{6}\doteq 1.8333\text{ft} \\ {b}_1=2\frac{1}{2}=2+\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}=2\frac{1}{2}=2.5\text{ft} \\ {b}_2=1\frac{2}{3}=1+\frac{2}{3}=\frac{1\cdot 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1\frac{2}{3}\doteq 1.6667\text{ft} \\ E=e_1+e_2=\frac{11}{4}+\frac{11}{6}=\frac{33}{12}+\frac{22}{12}=\frac{33+22}{12}=\frac{55}{12}=4\frac{7}{12}\doteq 4.5833\text{ft} \\ B=b_1+b_2=\frac{5}{2}+\frac{5}{3}=\frac{15}{6}+\frac{10}{6}=\frac{15+10}{6}=\frac{25}{6}=4\frac{1}{6}\doteq 4.1667\text{ft} \\ n=E/B=\frac{55}{12}/\frac{25}{6}=\frac{55}{12}:\frac{25}{6}=\frac{55}{12}\cdot \frac{6}{25}=\frac{55\cdot 6}{12\cdot 25}=\frac{330}{300}=\frac{11}{10}=1\frac{1}{10}=1.1 \end{gathered}$$

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