Question

The value of $\frac{1}{3} + \frac{1}{15} + \frac{1}{35} + \frac{1}{63} + \frac{1}{99}$

Answer 1

Answer:

7/15

explanation:

I'm not sure

Answer 2

Answer:

$\frac{5}{11}$

Step-by-step explanation:

$= \frac{1}{3} + \frac{1}{15}+ \frac{1}{35} + \frac{1}{63} + \frac{1}{99}$

$= (\frac{1}{3} + \frac{1}{15} ) + \frac{1}{35} + \frac{1}{63} + \frac{1}{99}$

$= (\frac{6}{15} + \frac{1}{35} ) + \frac{1}{63} + \frac{1}{99}$

$= \frac{45}{105} + \frac{1}{63} + \frac{1}{99} = ( \frac{3}{7} + \frac{16}{63} ) + \frac{1}{99}$

$= \frac{28}{63} + \frac{1}{99}$

$= \frac{4}{9} + \frac{1}{99}$

$= 44 + \frac{1}{99}$

$= \frac{45}{99}$

$= \frac{5}{11}$