Question

Evaluate.

6[5(3-9)-1]+2
---------------
7(8-2)+4

Answer 1

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Answer 2

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Answer 3

@dudezack @~

Answer 4

Simplify.
6[5(3-9)-1]+2
---------------
7(8-2)+4

Answer 5

@dudezack please solve th parenthesis (3-9) first

Answer 6

-6

Answer 7

ok, now multiply -6 by 5

Answer 8

-30

Answer 9

ok, now add -1 to -30

Answer 10

-62

Answer 11

it is -31

Answer 12

-31

Answer 13

ok, now multiply -31 by 5

Answer 14

-155

Answer 15

sorry mltipluy -31 by 6

Answer 16

-186

Answer 17

perfect, now add +2 to -186

Answer 18

is + a positive

Answer 19

yes!

Answer 20

please you have to calculate -186+2=...

Answer 21

-184

Answer 22

well done, that is your numerator.
Now let us think to denominator

Answer 23

please solve the parenthesis (8-2)

Answer 24

6

Answer 25

that's right, now please multiply 6 by 7

Answer 26

42

Answer 27

ok! Now add 4 to 42

Answer 28

46

Answer 29

perfect! that is your denominator, so your fraction is:
\[-\frac{ 186 }{ 46 }\]

Answer 30

how do we didvide it

Answer 31

oops... sorry:
\[-\frac{ 184 }{ 46 }\]

Answer 32

please you have to find the maximum common divisor. in order to do that, note that:
46=2*23
23 is a prime number, and
184=2^3*23
so by definition what is the maximum common divisor?

Answer 33

idk

Answer 34

@dudezack do you know how to calculate the maximum common divisor?

Answer 35

no

Answer 36

the rule to find it is:
you have to pick only common factors whose exponent is the littlest

Answer 37

nemely common factors between 184 and 46 are?

Answer 38

@dudezack please compare the factorization above

Answer 39

ok thanks

Answer 40

write your answer, remember you have to pick only common factors

Answer 41

for example 2 is a common factor? @dudezack

Answer 42

yes it is, because it is a factor of 46, and it is also a factor of 184

Answer 43

do you agree @dudezack

Answer 44

@dudezack another common factor is 23, do you agree?