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### Question

What is 0.75757575...?

**A**

$25/33$.

**B**

$26/33$.

**C**

$25/34$.

**D**

$25/35$.

**Soln.**

**Ans: a**

0.75757575... is same as $0.\ov 75$. Let y = $0.\ov 75$. Multiply by 100, 100y = 75 + $0.\ov 75$ which is same as 75 + y. So 99y = 75, ⇒ y = $75/99$. So answer = ${25/33}$.