Question

Anita read one-eighth of a book in the
morning, one-eighth of it in the evening
and two-sixths of the book the next
day. What fraction of the book remains
unread?​

Answer 1

Answer:

Fraction of books remained unread is,

$\frac{2}{3}$

Step-by-step explanation:

In the question,

Let us say that the number of books Anita reads = 8x

Fraction of books read in Morning = 1/8

So,

Books read in the morning = x

Fraction of the books read in the evening = 1/8

So,

Books read in the evening = x

Fraction of the books read the next day = 2/6

So,

Books read the other day = 8x/3

Therefore,

Total number of books read is given by,

$x+x+\frac{2x}{3}=\frac{8x}{3}$

So,

The number of books remained unread = Total books - Total books read

So,

$The\ number\ of\ books\ remained\ unread =8x-\frac{8x}{3}=\frac{16x}{3}$

So, the fraction will be,

$\frac{\frac{16x}{3}}{8x}=\frac{2}{3}$

Therefore, the fraction of books remained unread is given by,

$\frac{2}{3}$

Answer 2

Answer:

5/12

Step-by-step explanation:

Given Anita read one-eighth of a book in the

morning, one-eighth of it in the evening

and two-sixths of the book the next

day. What fraction of the book remains

unread?  

Now Anita read 1/8 of the book in the morning

1/8 of the book in the evening

2/6 of the book the next day.

So total number of pages read will be 1/8 + 1/8 + 2/6

LCM will be 24

3 + 3 + 8 / 24

= 14 / 24

= 7/12 of a book Anita has read.

Now fraction of a book remains unread will be 1 – 7/12

                                                   = 12 – 7 / 12

                                                    = 5/12