2. Compare the fractions:

$$
\frac{1+2+3+\ldots+50}{2018} \text { and } \frac{1275}{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 7 \cdot 9}
$$
2. $1+2+3+\ldots+50=(1+50)+(2+49)+\ldots+(25+26)=$

$1 \mathrm{BOD}$

$=25 \cdot 51=1275$

$1 \mathrm{BOD}$

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 7 \cdot 9=32 \cdot 63=2016$

2 BODA

We need to compare the fractions $\frac{1275}{2018}$ and $\frac{1275}{2016}$.

The fractions have the same numerators, so the larger one is the one with the smaller denominator.

Since 2018 > 2016, then

$\frac{1275}{2018}<\frac{1275}{2016}$.