4. How many consecutive decimals (starting from the decimal point) need to be added from the decimal representation of the fraction $\frac{11}{21}$ to get a result of 2016?
4. The decimal representation of the fraction $\frac{11}{21}$ is $0 . \dot{5} 2380 \dot{9}$, and the sum of all six digits in the period is 27.

2 POINTS

Since $2016=27 \cdot 74+18$, it is necessary to sum 74 groups of the 6 given digits and an additional four $(5+2+3+8)$ which give 18.

The total number of decimals to be summed is $74 \cdot 6+4=448$.