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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!

If anyone Is nice enough to check my math (don’t judge the horrible handwriting..I-example-1
User Bart Sy
by
5.1k points

2 Answers

3 votes
I’ll check it give me a minute I’m mainly writing this so I know to come to this just sec
User Eugene Nagorny
by
5.2k points
3 votes

Answer:

The result is
(27)/(2)

Explanation:

We have to resolve:


[(13)/(50) +((-11))/(70)]:[((-16))/(35) .(1)/((-60)) ]

First we are going to analyze by separate:


[(13)/(50) +((-11))/(70)]

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)]

We can simplify dividing in 2:


(36)/(350) =(18)/(175)

Now we have to look the other part:


[((-16))/(35) .(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:


[((-16))/(35) .(1)/((-60)) ]=[(4)/(35) .(1)/(15) ]\\\\=[(4)/(525)]

Now uniting what we analyzed separately:


(18)/(175):(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:


(18)/(175):(4)/(525)=(9)/(1) :(2)/(3)=(27)/(2)

Then the result is
(27)/(2)

User Keenle
by
5.3k points
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