The simplified value of $$999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}$$ is
we need to find value of $$999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}$$
$$6000 - \frac{1+2+3+4+5+6}{7}$$
= 6000 - $$\frac{21}{7}$$
= 6000 - 3 = 5997
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