victoriajarrett80 victoriajarrett80
  • 21-01-2024
  • Mathematics
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The ratio of hardback book to paperback books on a bookshelf is 6 : 15

What fraction of the books on the bookshelf are hardback books?
Give your answer in simplest form

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sqdancefan
sqdancefan sqdancefan
  • 21-01-2024

Answer:

  2/7

Step-by-step explanation:

You want the fraction of books that are hardback if the ratio of hardback to paperback books is 6:15.

Ratio

We can reduce the ratio to lowest terms by dividing the numbers by their common factor, 3.

  6 : 15 = 2 : 5

Fraction

The fraction of books that are hardback is the ratio of hardback books to the total number of books:

  hardback : total = hardback : (hardback + paperback) = 2 : (2+5) = 2:7

The fraction of books that are hardback is 2/7.

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