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Mathematics 21 Online
OpenStudy (anonymous):

8/3-9/4+1/4=?

OpenStudy (amistre64):

adding fractions ....

OpenStudy (anonymous):

i suck with fractions lol

OpenStudy (amistre64):

its easier to add add and subtract fractions when they are all speak the same ratio .... we gotta change the form of the fractions but still keep the value intact

OpenStudy (anonymous):

8/3-(9/4-1/4)

OpenStudy (amistre64):

in other words; we have to get them all sitting on the same number ... you already have 2 that are good to go; -9/4+1/4 = -8/4 = -2 right?

OpenStudy (anonymous):

2/3

OpenStudy (anonymous):

i mean 8/3-(-9/4-1/4)

OpenStudy (anonymous):

that should change up the answer

OpenStudy (anonymous):

both would change up to positive right

OpenStudy (amistre64):

that leaves us with: 8/3 - 2 ; we can multiply any number we like by "1" and its value doesnt change; but it is a useful form of 1 that we need. 8/3 is already sitting on a number ... the 3 ; and 3/3 = 1 soo 2(1) = 2 2(3/3) = 6/3 8/3 - 6/3 = 2/3 .... you changed up the numbers put the process is the same

OpenStudy (amistre64):

yes; if they were both negative; they will change to positive

OpenStudy (anonymous):

so it would be 8/3-10/4

OpenStudy (amistre64):

8/3 +9/4 +1/4 8/3 + 10/4 is were we are at

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

dont I have to mutiply the denominators?

OpenStudy (anonymous):

You first have to get them all to have a common denominator, which in this case is 12. So, you multiply the numerators by what it takes the denominators to get to the common denominator. In this case, you will multiply the ones with 3 by 4 and the ones with 4 by 3. This will get you (32/12)-(27/12)+(3/12) You then can add/subtract the numerators to combine them, which gets you 8/12. You can then reduce by dividing each number by a common factor, which is 4 in this case. This eaves you with a final answer of 2/3.

OpenStudy (amistre64):

8/3+10/4 = some number(n) 8/3+10/4 = n ; lets clear fractions by multiplying by denominators 3(8/3 + 10/4) = 3n ; we multpily thru by 3 8 + 30/4 = 3n ; now lets multiply thru by 4 4(8) + 4(30/4) = 4(3n) 32 + 30 = 12n ; add the left parts 62 = 12n ; now devide out the 12 to find our "n" 62/12 = n ; and reduce n = 31/6 maybe

OpenStudy (anonymous):

thank you

OpenStudy (amistre64):

there are quicker methods; but the right answer doesnt care how you get there :)

OpenStudy (anonymous):

are x,y like terms right?

OpenStudy (anonymous):

since coefficient would be 1

OpenStudy (amistre64):

x and y are variables and are best to consider them unlike terms

OpenStudy (anonymous):

oh ok thank you\

OpenStudy (amistre64):

its like asking if apples and steak are the same food group ...

OpenStudy (amistre64):

1 apple and 1 steak dont add or subtract .....

OpenStudy (anonymous):

lol thats a nice example

OpenStudy (anonymous):

\[3(3y-8)+2(2y+7)\]

OpenStudy (anonymous):

9y-24+4y+14

OpenStudy (amistre64):

multiply thru the paranthesis and add the results 3y - 8 2y+7 3 2 ------ ------ 9y -24 4y +14 9y -24 + 4y +14 --------- 13y -10

OpenStudy (anonymous):

thank you alot easier than what i was thinking

OpenStudy (amistre64):

at my age, i try easier over complex :)

OpenStudy (anonymous):

\[-\left| 64 \right|\]

OpenStudy (anonymous):

lol i like complicated for some odd reason

OpenStudy (amistre64):

an absolute value is a solid measurement regardless of direction. 64 feet to the right = 64 64 feet to the left = 64 64 feet to the north = 64 ... etc |64| = 64 , now apply the "-" part to it. -|64| = -64

OpenStudy (anonymous):

now i know anything inside the bracket would have to be positive but if the minus sign is outside the bracket?

OpenStudy (amistre64):

work inside the brackets first; then outside the brackets

OpenStudy (anonymous):

and if the minus sign would have been inside the bracket?

OpenStudy (amistre64):

then work the insides of the bracket; and strip of any signs that get attached to it ... becasue the sign tells us direction, of which the absolute value cares nothing about

OpenStudy (amistre64):

absolute value of -64 = 64

OpenStudy (anonymous):

thanks :) u been a great help

OpenStudy (amistre64):

\(\color{green}{\text{youre welcome :)}}\)

OpenStudy (amistre64):

if you have any more questions, feel free to post them to the left. I gotta step away for a bit

OpenStudy (anonymous):

ok thanks for your time

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