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**

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