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Question

# Ila read 25 pages of a book containing 100 pages and Lalita read 25of the same book. What can be concluded from this? (4 marks)

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Solution

## As per the question, Ila read 25 pages out of 100 pages. Fraction of the pages read by Ila=25100 (0.5 mark) 25 is the common factor of both 25 and 100, so divide the numerator and denominator by 25, we get 25100=25÷25100÷25=14 So, Ila read 14thpart of book. (1 mark) Given that Lalita read 25th part of book To compare both the fractions, let us convert them into like fractions. LCM of the denominators of 14 and 25 , i.e., LCM of 4 and 5 is 20. (0.5 mark) Now, writing 14 and 25 as equivalent fractions having same denominator which is 20, we get 14=1×54×5=520 and 25=2×45×4=820 (1 mark) On comparing the numerators, we have 5 < 8 ∴520<820 Therefore, Ila read less than Lalitha. (1 mark)

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