Jessie

Jessie was given the problem 3 2/5 divided by 3/10 = to solve. Jessie's work looks like this: 3 2/5 divided by 3/10 = 17/5 divided by 3/10 17/5 * 3/10 = 17:3/5:10 51/50 =5 1/50 Jessie's answer is incorrect. Answer the following questions about Jessie's work.

Correct answer:

x =  11 ¹⁄₃ = 34/3

Step-by-step explanation:

$$\begin{gathered} a=3\frac{2}{5}=3+\frac{2}{5}=\frac{3\cdot 5+2}{5}=\frac{15+2}{5}=\frac{17}{5}=3\frac{2}{5}=3.4 \\ b=\frac{3}{10}=0.3 \\ x=a/b=\frac{17}{5}/\frac{3}{10}=\frac{17}{5}:\frac{3}{10}=\frac{17}{5}\cdot \frac{10}{3}=\frac{17\cdot 10}{5\cdot 3}=\frac{170}{15}=\frac{34}{3}=11\frac{1}{3}=11.3333 \end{gathered}$$

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