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the / is a division sign
Can u pls type it using the equation tab below. It is difficult to understand it like this
well h/o.. write ur answer as a fraction in simplest form. does this help? 2 X 1 X 1 --- --- -6 -5
The answer is 1/15
When you have such multiplication of fractions, follow the rule : (Here N means numerator and D means denomination) N1 x N2 x N3 N1 x N2 x N3 -- -- -- = ------------- D1 D2 D3 D1 X D2 X D3
Now using this formula try to solve yourself and I'll check if it is correct
do u multiply the -7 with the N or D?
in the 2nd problem?
You can treat it as -7 -- 1 So you multiply -7 with the numerator group
soo 98 -- -54
Correct!! But something more needs to be done
simplify? idk how to do that with this fraction
First, we hv to reduce it to lowest terms Second, make the denominator positive
OK, Both are even nos and hence divisible by 2 So go ahead and divide both by 2
Then multiply this by -1/-1 to make the denominator positive
49 -1 --- x ___ -27 -1
soo that means the answer is this? -49 --- 27
BINGO !!!! You got the hang of it !!
yay! is that simplest form?
Now I'll teach you how to reduce it to lower terms easily
Yes it is because 49 is 7 x 7 and 27 is 3 x 3 x 3 So both numbers do not hv any common factor left
okay thank u
your question was 2 x -7 x -7 --- --- 9 -6
We modify it to 2 x -7 x -7 --- --- --- 9 1 - 6
Now we can easily see that 2 in the numerator of first fraction and 6 in the denominator of third fraction are both divisible by 2 and so we divide them by 2 to get 1 x -7 x -7 --- --- --- 9 1 -3
ok now i have another ? is -3(3x-u)+(2u-4x) simplified to -9?
Now you can clearly see that numerators on top and denominators at bottom cannot be cross -cut as they do not have common factors so now multiply all numerators and all denominators and basically shift the - sign to the numerator
is that the simplified expression to that expression? yes.thank u for explaining that to me.
Yes, when u hv many fractions, you can use cross-cutting to cancel out common factors Now to yr second question..... -3(3x-u)+(2u-4x) = -9x + 3u + 2u - 4x = -9x - 4x + 3u + 2u = - 13x + 5u
How did u arrive at -9 ??
-3(-3x-u)+(2u-4x) -3(-3x)+1+(-4x) -3+1+-7
i did it wrong
but i was supposed to distribute
Yes, when you have an expression like -3(3x-u), you have to first use the DISTRIBUTIVE LAW to open the bracket and then solve further
wait..it said that wasn't correct.
What's the ans u hv????
i got 5x-1u
1u ? :|
-3(-3x-u) + (2u-4x) (9x-3u) + (2u-4x) -1u + 5x 5x + -1u 5x-1u
Then u gave me the wrong question the first time around!!!! Go and check....
i did! i'm sorry!! ahaha i put 3 and it was supposed to be -3 i think
but am i correct (with the problem i just did)
Well, one can always make mistakes while typing...... No, your answer is not correct. See my working below... -3(-3x-u) + (2u-4x) = 9x + 3u + 2u - 4x = 9x - 4x + 3u + 2u = 5x + 5u = 5 (x + u)
"5x-1u " :\ why is there a 1 in front of the u ?
you write "5-u" , no need for the 1 , it just makes it look messy , whenever I mark maths if I see anyone write coeffiecent of 1 then they lose marks
But her answer is wrong anyway.....
yeh , doesnt mean you cant correct notation
But if you deduct marks for this, I feel u r too harsh on the students. Just putting a circle and remarking shud do th job
yeah but for my learning purposes i sometimes put the -1 so i don't lose track.
but anyway..i see what u did harkirat ... idk what the crap i did! haha
No sweat, we all learn by making mistakes and correcting them
yeh, probably for like year4 kids in primary you wouldnt mark down , but if they are in high school and writting coefficents of 1 then there is something wrong , it makes you looks stupid putting 1u , because that shows the marker that you dont know that 1 times u =u
@elecengineer R u located in the US??
R u an Indian by any chance??
no, not asian either
but alot of the electrical engineering lecturers at my uni are
im white lol
Just asking, hope u didn't mind
you shouldn't call students stupid...they mean the same thing. -1u and -u...just because it's marked differently doesnt mean you should mark down a grade..the answer is not wrong technically. its like your punishing your students because their teacher is a neat freak.
I'm an Indian and I know teachers here (in India) r very harsh with such things and penalise even small things
C'mon lauren, thats not nice
i dnt care what they say ^
but hey i'm just a first year college student. what do i know? but anywho the answer 5x+5u was correct!!! yayy!! i'm sorry. i'm just the type of person who says what i feel. i'm sorry if i offended you. just different opinions that is all.
but seriously, if you are in high school you shouldnt need to write the 1s
you are first year of uni , 19yrs old and you still write the 1s , you should have dropped that a long time ago lol
C'mon friends, let us change the topic
Do u need to ask anything else lauren??
agreed. i don't like negativity. and yes...one sec please.
im not negative , just stating the facts, and I would be very surprised if a uni tutor doesnt mark down because of bad notation , its one thing to get the right answer, but you also need to express yourself confidently
if you click the link it makes it bigger.
^ thats first year uni math? cant be
what do you mean by "college"
i'm in Math098...i'm not the best math student and have never really been good at math or liked it...but it is a lower level of math.
but i do go to a university.
k... thats like the stuff we do in year8 in high school in australia
lauren, u do it and tell me the ans I'll confirm if it is ok This is a simple one, just b careful while using the Dist. LAW
i got -11y+8
Bingo !! Its correct , the working as follows -4 (3y - 2) + y = -12y + 8 + y = - 11y + 8
I should go fetch a really hard version of these from one of my high maths text books , these are far too easy :p
something much more complex
k u go do that. lol
Ok lauren, give this a try 2(x+ 3y) -7(2y - 5z) + 3(2x - 3y +z)
Focus and you'll do it right
nah , just expanding is no fun, I am talking really messy algebraic fractions , with fractions inside fraction etc , really fun :p
C'mon elecengineer, giv her a break U r suggesting a mosquito weight fights Mike Tyson :D
lauren, redo it and keep + and - signs in mind while expanding
it wasnt the signs that caused the mistake :|
8x-17y+38z and i missed one of the y terms while comining like terms.
Good, u did it!!
Maths needs constant/regular/focussed practice
Find more such sums and keep doing them
thanks harkirat....are these like terms? 8x and 8x^2
do u know why??
bc of the exponent
Correct, In Algebra, for like terms we look at the variables and not the coefficient
For eg if u hv these four terms -5 x^2y^5z , 7x^2y^5 , 2zy^5x^2 , -11 xyz
k got it
The two like terms here are -5 x^2y^5z , 2zy^5x^2 becoz both hv x^2 y^5 and z as algebraic factors
So just look at varible and their powers If two terms have all variables same and their powers same, then they r like, irrespective of their coefficients
here the operative word is ALL ALL variables same and their respective powers same