Shiva read 1/2 of a book in the morning, and she read some more at night. By the end of the day, she still had 1/3 of the book left to read. How much of the book did Shiva read at night?

Shiva had read 1/6 of the book that night.

1/2 + n = whole book - 1/3

1/2 + n = 1                   - 1/3 = 3/3 - 1/3

1/2 + n                                    =     2/3

The Lowest Common denominator of 2 and 3 is 6.  Change each fraction to 6ths.

1/2 = 3/6.   and 2/3 = 4/6

So 3/6 + n = 4/6

Subtract 3/6 from each side

3/6 + n - 3/6. = 4/6 - 3/6

          n.           = 1/6

Shiva had read 1/6 of the book that night.

1/6 of the book over night

Step-by-step explanation:

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..