### Instruction: Evaluate $\left|{-4+\frac{7}{6}i}\right|$.### Response: We know that $|a+bi|=\sqrt{a^2+b^2}$.
That's right. So we just need to plug in the values of $a$ and $b$ into this formula.
That's correct. In this case, $a=-4$ and $b=\frac{7}{6}$.
So $|{-4+\frac{7}{6}i}|=\sqrt{(-4)^2+\left(\frac{7}{6}\right)^2}$.
And that simplifies to $\sqrt{\frac{169}{36}}$, which is equal to $\frac{13}{6}$.