Question

1. three students wrote equivalent fractions and decimals as shown. circle the name of the student who made a mistake and rewrite their statement correctly. shawna $\frac{1}{33}=0.0overline{3}$ keith $0.04 = \frac{2}{5}$ soren $\frac{5}{6}=0.8overline{3}$ @maneuvering the middle llc, 2016

Explanation:

Step1: Check Shawna's work

We know that $\frac{1}{33}= 0.030303\cdots=0.\overline{03}$, not $0.0\overline{3}$, so Shawna made a mistake.

Step2: Check Keith's work

Convert $\frac{2}{5}$ to a decimal. $\frac{2}{5}=\frac{2\times2}{5\times2}=\frac{4}{10} = 0.4$, not $0.04$, so Keith made a mistake.

Step3: Check Soren's work

Convert $\frac{5}{6}$ to a decimal. $5\div6 = 0.8333\cdots=0.8\overline{3}$, so Soren's work is correct.

Answer:

Soren