Value of -1 13/30

Question

I've been working on this for a while now, I've searched the internet but I didn't get any valid solution.

The question What's the value of -1 13/30 (mixed fraction, -1, 13 by 30), is it -43/30 or -17/30.

I'm really confused, so any help with that would be very helpful.

Answer 1

$-1\frac{13}{30} = -(1\frac{13}{30}) = -(\frac{43}{30}) = -\frac{43}{30} $

Note that this is different from

$-1+\frac{13}{30}$ which is $-\frac{17}{30}$

Answer 2

$1 + \frac{13}{30}$ is a positive number. In this notation, $-\left(1 + \frac{13}{30}\right)$ is the negative of $1 + \frac{13}{30}$.

Therefore $-1 \frac{13}{30} = -\left(1 + \frac{13}{30} \right)$. Can you end it now?