An opposite number of a number x, is a number y such that:
x+y=0.
So, we are looking for a number such that
[tex] \frac{10}{7}+y=0\\\text{Therefore:}\\y= - \frac{10}{7}[/tex]
Answer: [tex] - \frac{10}{7}[/tex] in the inverse of [tex]\frac{10}{7}[/tex] i