Question

Express 0.363636... as a fraction.

• A. 3/11
• B. 6/11
• C. 5/11
• D. 4/11

Answer 1

Answer:

D. 4/11

Let:

$x = 0.363636\ldots$

The repeating part is 36, so multiply by 100:

$100x = 36.363636\ldots$

Subtract the first equation:

$100x-x=36.363636\ldots-0.363636\ldots$
$99x=36$
$x=\frac{36}{99}$

Simplify:

$x=\frac{4}{11}$

Answer:

$\boxed{\frac{4}{11}}$