Verified Answer :

Erik's error was that he forgot the 2 that was in the side of 3/4.

Answer:

Erik did mistake in second term i.e. \(\frac{4}{3}\)

Step-by-step explanation:

Given expression,

\(14\frac{2}{3}\div 2\frac{3}{4}\)

\(=\frac{14\frac{2}{3}}{2\frac{3}{4}}\)

\(=14\frac{2}{3}\times \frac{1}{2\frac{3}{4}}\)

\(=14\frac{2}{3}\times \frac{1}{\frac{11}{4}}\)

\(=14\frac{2}{3}\times \frac{4}{11}\)

While,

Erick's result = \(14\frac{2}{3}\times \frac{4}{3}\)

Hence, he/she should write \(\frac{4}{11}\) instead of \(\frac{4}{3}\)