The expression $3+\frac{1}{10}+\frac{4}{100}$ is not equal to
(A) $3 \frac{14}{100}$
(B) 3.14
(C) $3 \frac{5}{110}$
(D) $3 \frac{7}{50}$
(E) $\frac{157}{50}$
First, we note that $3+\frac{1}{10}+\frac{4}{100}=3+\frac{10}{100}+\frac{4}{100}=3+\frac{14}{100}=3 \frac{14}{100}$.

Since $\frac{14}{100}=0.14$, then the given expression also equals 3.14.

Since $\frac{14}{100}=\frac{7}{50}$, then the given expression also equals $3 \frac{7}{50}$.

We also see that $3 \frac{7}{50}=3+\frac{7}{50}=\frac{150}{50}+\frac{7}{50}=\frac{157}{50}$.

Therefore, the only remaining expression is $3 \frac{5}{110}$.

We note further that $3 \frac{5}{110}=3.0 \overline{45}$, which is not equal to 3.14 .

ANSWER: (C)