Fraction : Word problems may involve fractions if we are dealing with partial values coming from a whole.
Total number of pages she read on Monday are 50 pages .
Total number of pages she read on Tuesday are 40 pages .
Operations with Fractions:
we have to remeber some important rules, making fractions similar for addition and subtraction, and applying the reciprocal for the divisor in division. The operations would depend on the analysis of the problem.
We have given in the problem that on Monday, Saumya read 1/3 of a book and on Tuesday, she read 2/5 of the remaining pages. After those, the remaining number of pages is 60
Firstly, we have to find the total number of pages the book has.
We will begin by finding the remaining fraction of pages after Saumya read on Monday. We will subtract 1/3 from 1 whole since she read from the beginning of the book.
1 − 1/3 = 2/3
Now, we know that on Tuesday, Saumya began reading with 2/3 remaining in the book. We will now find the fraction of the pages Saumya read on Tuesday. We know that it's 2/5 of the remaining pages, so it's 2/5 of 2/3
=> 2/5× 2/3 = 4/15 of the total number of pages of the book on Tuesday. So now, we will find the total fraction of the number of pages of the book that Samuya has read so far. This is so we can compare this fraction with the number of pages remaining. For this, we will add
1/3 + 4/15 = (5 + 4)/15 = 9/15
then 1 - 9/15 = (15-9)/15 = 6/15
This means that there would be another 6/15
= 2/5 of the book remaining and
that the remaining 2/5 of the book = 60 pages the total number of pages = 60/2/5
= 60×5/2 = 150
Therefore, the book has a total of 150 pages.
Total number of pages she read on Monday
= 1/3 of 150 = 50 pages
Total number of pages she read on Tuesday
= 4/15 of 150 = 40 pages
Hence, the total number of pages she read on Monday and Tuesday are 50 pages and 40 pages respectively.
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