Correct Answer - Option 1 : 73/33
Given
(0.6262... + 0.1111...) × 3
Calculation:
Let x = 0.6262... ---- (1)
Multiply equ (1) by 100 on both sides
100x = 62.6262.... ---- (2)
Subtract (1) from (2)
100x - x = 62.6262... - 0.6262...
99x = 62
x = 62/99
Similarly 0.11 is equal to 11/99
Value of 0.6262... is 62/99
Value of 0.1111... is 11/99
⇒ [(62/99) + (11/99)] × 3
⇒ (73/99) × 3
⇒ 73/33
∴ Value of (0.6262... + 0.1111...) × 3 is 73/33
