Question

If anyone Is nice enough to check my math (don’t judge the horrible handwriting..I don’t usually write like this)..I’d be thankful!

Answer 1

I’ll check it give me a minute I’m mainly writing this so I know to come to this just sec

Answer 2

Answer:

The result is $\frac{27}{2}$

Step-by-step explanation:

We have to resolve:

$[\frac{13}{50} +\frac{(-11)}{70}]:[\frac{(-16)}{35} .\frac{1}{(-60)} ]$

First we are going to analyze by separate:

$[\frac{13}{50} +\frac{(-11)}{70}]$

We have to look for the least common denominator between 50 and 70, which is 350, then we have to rewrite:

$[\frac{13}{50} +\frac{(-11)}{70}]=[\frac{91}{350}+ \frac{(-55)}{350} ]\\\\=[\frac{91-55}{350} ]\\\\=[\frac{36}{350}]$

We can simplify dividing in 2:

$\frac{36}{350} =\frac{18}{175}$

Now we have to look the other part:

$[\frac{(-16)}{35} .\frac{1}{(-60)} ]$

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:

$[\frac{(-16)}{35} .\frac{1}{(-60)} ]=[\frac{4}{35} .\frac{1}{15} ]\\\\=[\frac{4}{525}]$

Now uniting what we analyzed separately:

$\frac{18}{175}:\frac{4}{525}$

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:

$\frac{18}{175}:\frac{4}{525}=\frac{9}{1} :\frac{2}{3}=\frac{27}{2}$

Then the result is $\frac{27}{2}$