after reading a book for english class,100 students were asked whether or not they enjoyed it.nine twenty-fifths of the class did not like the book.how many students liked the book?

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09-01-2016
Mathematics

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after reading a book for english class,100 students were asked whether or not they enjoyed it.nine twenty-fifths of the class did not like the book.how many students liked the book?

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WorldCitizen WorldCitizen · Answer 1 · 2016-01-09T15:08:22-05:00

So, what is nine twenty-fifths? let's write it down as a fraction:

\(\frac{9}{25}\)

now, what happens if we multiply both nominator and the demominator by the same number? the value remains the same!

so let's multiply it by 4:
\(\frac{9*4}{25*4}=\frac{36}{100}\)

one of the ways of reading this fraction is: 36 out of 100, so this is almost the answer: 36 students didn't like the book.

And the remainder, 100-36=64 did like it!