Question 49
The denominators of two irreducible fractions are $600$ and $700$. What is the smallest possible value of the denominator of their sum when it is written as an irreducible fraction?
Remark: We say that the fraction $p / q$ is irreducible if the integers $p$ and $q$ have no prime factors in common in their factorizations. For example, $5/7$ is an irreducible fraction.
Remark: We say that the fraction $p / q$ is irreducible if the integers $p$ and $q$ have no prime factors in common in their factorizations. For example, $5/7$ is an irreducible fraction.