# Small, Smaller, Smallest

**Number Theory**Level 3

Let \(\displaystyle \frac ab\) be the smallest of the fractions that are greater than \(\displaystyle \frac {13}{15}\) where \( a,b < 500\) are positive integers.

What is the value of \( a+b\)?

Let \(\displaystyle \frac ab\) be the smallest of the fractions that are greater than \(\displaystyle \frac {13}{15}\) where \( a,b < 500\) are positive integers.

What is the value of \( a+b\)?

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