# What is the opposite and reciprocal of 3?

the answer is $- \frac{1}{3}$
a reciprocal is the opposite of a number so if it's $\frac{3}{4}$, then the reciprocal would be $- \frac{4}{3}$ when you flip it, you have to add a negative b/c it has to be full on opposite. but $3$ have nothing so you have to assume there's a $1$ there and hence why$- \frac{1}{3}$