Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.8 Junior Find the answer

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

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

The fraction $\frac{5}{7}$ is between 0 and 1. The fraction $\frac{28}{3}$ is equivalent to $9 \frac{1}{3}$ 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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