Answer:
<h2>The result is

</h2>
Step-by-step explanation:
We have to resolve:
<h2>
![[\frac{13}{50} +\frac{(-11)}{70}]:[\frac{(-16)}{35} .\frac{1}{(-60)} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B13%7D%7B50%7D%20%2B%5Cfrac%7B%28-11%29%7D%7B70%7D%5D%3A%5B%5Cfrac%7B%28-16%29%7D%7B35%7D%20.%5Cfrac%7B1%7D%7B%28-60%29%7D%20%5D)
</h2>
First we are going to analyze by separate:
<h2>
![[\frac{13}{50} +\frac{(-11)}{70}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B13%7D%7B50%7D%20%2B%5Cfrac%7B%28-11%29%7D%7B70%7D%5D)
</h2>
We have to look for the least common denominator between 50 and 70, which is 350, then we have to rewrite:
<h2>
![[\frac{13}{50} +\frac{(-11)}{70}]=[\frac{91}{350}+ \frac{(-55)}{350} ]\\\\=[\frac{91-55}{350} ]\\\\=[\frac{36}{350}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B13%7D%7B50%7D%20%2B%5Cfrac%7B%28-11%29%7D%7B70%7D%5D%3D%5B%5Cfrac%7B91%7D%7B350%7D%2B%20%5Cfrac%7B%28-55%29%7D%7B350%7D%20%5D%5C%5C%5C%5C%3D%5B%5Cfrac%7B91-55%7D%7B350%7D%20%5D%5C%5C%5C%5C%3D%5B%5Cfrac%7B36%7D%7B350%7D%5D)
</h2>
We can simplify dividing in 2:
<h2>

</h2>
Now we have to look the other part:
<h2>
![[\frac{(-16)}{35} .\frac{1}{(-60)} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28-16%29%7D%7B35%7D%20.%5Cfrac%7B1%7D%7B%28-60%29%7D%20%5D)
</h2>
This is a multiplication so we have to cross-simplify:
We can't simplify 35 and 1 but we can simplify (-16) and (-60) in 4:
<h2>
![[\frac{(-16)}{35} .\frac{1}{(-60)} ]=[\frac{4}{35} .\frac{1}{15} ]\\\\=[\frac{4}{525}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28-16%29%7D%7B35%7D%20.%5Cfrac%7B1%7D%7B%28-60%29%7D%20%5D%3D%5B%5Cfrac%7B4%7D%7B35%7D%20.%5Cfrac%7B1%7D%7B15%7D%20%5D%5C%5C%5C%5C%3D%5B%5Cfrac%7B4%7D%7B525%7D%5D)
</h2>
Now uniting what we analyzed separately:
<h2>

</h2>
We can simplify, we have a division then we have to simplify numerator with numerator and denominator with denominator.
We are going to simplify the numerators in 2 and the denominators in 175:
<h2>

</h2><h2>Then the result is

</h2>