Task 1. What is greater: 1 or $\frac{21}{64}+\frac{51}{154}+\frac{71}{214} ?$
Answer: One is greater.

## First solution.

$$
\frac{21}{64}+\frac{51}{154}+\frac{71}{214}<\frac{21}{63}+\frac{51}{153}+\frac{71}{213}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1
$$

## Second solution.

$$
\begin{aligned}
\frac{21}{64}+\frac{51}{154}+\frac{71}{214} & =\frac{21 \cdot 154 \cdot 214+64 \cdot 51 \cdot 214+64 \cdot 154 \cdot 71}{64 \cdot 154 \cdot 214}= \\
& =\frac{692076+698496+699776}{2109184}=\frac{2090348}{2109184}\left[=\frac{522587}{527296}\right]<1 .
\end{aligned}
$$