Question

When the repeating decimal 0.45454545... is written in the simplest fractional form, the sum of the numerator and denominator is

• A. 5
• B. 11
• C. 55
• D. 16

Answer 1

The correct option is D 16

$n=0.45454545$
$100n=45.45454545$
Now subtract
$100n-1n=45.45454545-0.45454545$
$99n=45$
$n=\frac{45}{99}=\frac{5}{11}$
Sum of numerator and denominator $=5+11=16$