Answer:
The result is
![(27)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8v8tgi02dr5kinf9z1so3bqr6knax7ps48.png)
Explanation:
We have to resolve:
![[(13)/(50) +((-11))/(70)]:[((-16))/(35) .(1)/((-60)) ]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/go4hjkpov0zr2xz6iz0lv2thc9hfwfxq3i.png)
First we are going to analyze by separate:
![[(13)/(50) +((-11))/(70)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nn49karhpldcsuxvgpnd6fc656nl3yavlm.png)
We have to look for the least common denominator between 50 and 70, which is 350, then we have to rewrite:
![[(13)/(50) +((-11))/(70)]=[(91)/(350)+ ((-55))/(350) ]\\\\=[(91-55)/(350) ]\\\\=[(36)/(350)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7fuxg6vm72wiamnuyf223ds1bnulcqzz7k.png)
We can simplify dividing in 2:
![(36)/(350) =(18)/(175)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/245sc0lo2mkmdkmh944nj3cvy6ai0nybrf.png)
Now we have to look the other part:
![[((-16))/(35) .(1)/((-60)) ]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/astmynfbirfn71mkdo56d0nr824v6hjotn.png)
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:
![[((-16))/(35) .(1)/((-60)) ]=[(4)/(35) .(1)/(15) ]\\\\=[(4)/(525)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/prn2v7ueuaupyea35y7ho5wnf8z4xk2n8i.png)
Now uniting what we analyzed separately:
![(18)/(175):(4)/(525)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/almj6bxych4qjgvzmwcj74hkbgk1n70jlt.png)
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:
![(18)/(175):(4)/(525)=(9)/(1) :(2)/(3)=(27)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g6vrcg8fwoabgjsnguqlp6py2wpflcfwpf.png)
Then the result is
![(27)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8v8tgi02dr5kinf9z1so3bqr6knax7ps48.png)