Kelly C.
asked 01/16/19Fractions help please
A school librarian ordered new books from the library. Of the new books ordered, 1/3 are science, 2/5 are biography, and the rest of the books or fiction. What fraction of the books ordered or fiction?
1 Expert Answer

Denise L. answered 01/17/19
Engaging Tutor with over 20+ Years of Helping Students Succeed
Hi Kelly,
When you are doing problems like this, watch the denominators on the fractions --- you can't add or subtract thirds and fifths...you need the same denominator first which you can get by multiplying the two numbers (sometimes there is a smaller least common multiple.)
So here, if 1/3 are science, that is 5/15 science.
If 2/5 are biography, that is 6/15 biography.
The total number of books is 15/15, another way to write 1.
So if the rest are fiction, that would be 15/15 - 5/15 - 6/15 =
Vickey G.
when we add 2/15+6/15= 11/15, how 15/15 come. can you explain please.03/21/19

Denise L.
Yes...science and biography together are 11/15. But you also have fiction books a third category. Since all three types must add to 15/5 or 1...the fiction books are 15/15 - 11/16= 4/15. Does that help?03/22/19
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Grace Y.
Hi but my problem was the same exact numbers except the question was: What fraction of the books ordered was fiction? Please help and explain. Thanks 😊02/15/24