# How do you find the multiplicative inverse of 5/7?

It's $\setminus \frac{7}{5}$.
By definition, the inverse multiplicative of a number $x$ is a number $y$ such that $x \setminus \cdot y = 1$. So, we have to find a number $y$ such that $\setminus \frac{5}{7} \setminus \cdot y = 1$, and that number is of course $\setminus \frac{7}{5}$.