Find the value of: \(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}.\)

Find the value of:

\(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}.\)

A 5772

B 5997

C 4558

D 1344

E None of these

Correct Answer: Option B

Given expression is

\(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}.\)

Now, this expression can also be written as

⇒ 999 + 1/7 + 999 + 2/7 + 999 + 3/7 + 999 + 4/7 + 999 + 5/7 + 999 + 6/7

⇒ (999 + 999 + 999 + 999 + 999 + 999) + (1/7 + 2/7 + 3/7 + 4/7 + 5/7 + 6/7)

⇒ 5994 + (21/7)

⇒ 5994 + 3 = 5997

Hence, the required answer is 5997,