Question

after reading 5/8 of a book,168 pages are left.how many pages are there in all in the book.​

Answer 1

Parts pages left

5/8 168

1 (?)

by Cross multiplication,

= 168/5/8

= 168×8/5

= 1344/5

= 269 (approx)

Answer 2

Answer:

Given :

$\sf{Fration\:of\:page\:reads=\dfrac{5}{8}}$

$\textsf{No. of pages left = 168 pages}$

To find :

$\textsf{Total number of pages in the book}$

Concept :

So , to find the number of pages in the book .

First find the fraction of pages left of the book . Then , divide the number of pages left with the fraction of pages left in the book .

Solution :

Fraction of pages left in the book -:

$\sf{:\implies{\dfrac{5}{8}=1-\dfrac{5}{8}}}$

L.C.M of 1 and 8 is 8 .

$\sf{:\implies{\dfrac{8-5}{8}}}$

$\sf{:\implies{\dfrac{3}{8}}}$

Now , total number of pages in the book -:

$\sf{:\implies{168\:pages\div\dfrac{3}{8}}}$

$\sf{:\implies{168\:pages\times\dfrac{8}{3}}}$

$\sf{:\implies{56\times8}}$

$\sf{:\implies{448\:pages}}$

Answer :

So , total number of pages in the book is 448 pages .