• # question_answer $\left( \text{999}\frac{\text{1}}{\text{7}}\text{+999}\frac{\text{2}}{\text{7}}\text{+999}\frac{\text{3}}{\text{7}}\text{+999}\frac{\text{4}}{\text{7}}\text{+999}\frac{\text{5}}{\text{7}}\text{+999}\frac{\text{6}}{\text{7}} \right)\text{=X}$ What is the value of X? A) 2997      B) 5979 C) 5994      D) 5997

$999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}$ $+999\frac{5}{7}+999\frac{6}{7}$ $=(999\times 6)+\left( \frac{1}{7}+\frac{2}{7}+\frac{3}{7}+\frac{4}{7}+\frac{5}{7}+\frac{6}{7} \right)$ $=5994+\left( \frac{1+2+3+4+5+6}{7} \right)$ $=5994+\left( \frac{21}{7} \right)=5994+3=5997$