Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.8 Junior Find the answer

How many integers are greater than $rac{5}{7}$ and less than $rac{28}{3}$ ?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

The fraction $rac{5}{7}$ is between 0 and 1. The fraction $rac{28}{3}$ is equivalent to $9 rac{1}{3}$ and so is between 9 and 10. Therefore, the integers between these two fractions are $1, 2, 3, 4, 5, 6, 7, 8, 9$ , of which there are 9.

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