x + y over y = ? A BASIC Math concept MANY will get WRONG!
Common math mistakes with fractions and rational expressions.
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Пікірлер: 73
I keep seeing comments about how the problem could be solved quicker. What these people don't understand is that it is a lesson, not just a problem. Instruction is provided on a principle of math plus a bit of insight on related topics. Those who cannot grasp this need to think about it awhile.
@martm216
4 ай бұрын
Yes I agree. Except that perhaps we could with a little less of advertising his courses.
@bigdog3628
Ай бұрын
he could of succinctly done this lesson in less than 5 minutes is the point. We didn't need all the self promotion and the "oh you get a smiley face" example: we are adding so we cannot cancel yet, so lets rewrite the problem as (x/x) + (Y/x) Bobs your uncle now you can simplify (x/x) down to just 1. after all 5/5 is 1 6/6 is 1 7/7 is 1 etc etc. Now second part we can't simplify so it stays y/x. so the answer is c:) 1 + (y/x)
I used to love mathematics when I knew the rules. It was like working puzzles and was fun.
@ibdense
4 ай бұрын
I knew people who hated math, but I loved it and always felt like it was a fun puzzle class. Took a lot of the pressure off.
Excellent. I wish you were my teacher when I was in high school. ( 50 yrs ago)
The simple rule that applies is: (a + b)/c = a/c + b/c. Of course, the opposite is also true.
Short explanation: x/x=1 You already have y/x Add them and you get 1+y/x
Why does X equal 1 and what does why represent
great idea with number subs. thanks for the fun. also with mult cho... you can work backwards.
Please do some other variations on factoring. Please. Thank you. I have been counted off on tests for not factoring out long form factoring solutions. Thank you.
Factor the X out of X+y x(1+y/x) / x x before the bracket and the x in the denominator cross cancel leaving 1+y/x
@946towguy2
4 ай бұрын
It is actually y/x+1 or 1+(y/x) or (1/1)+(y/x). 1+y/x is the same as (1+y)/X , while PEMDAS assumes y/x+1 is not y/(x+1).
An algebra 101 basic principal: Distributive Principal. If u r NOT familar with it do a quick google search of the topic.
The title is incorrect - Should say x + y over x - or am i the idiot?
@thenetsurferboy
4 ай бұрын
No
asnwer=(b)1+y isit
I got it right. But I wasn't really sure it was any simpler than what I started with. so my second choice was "none of the above".
c) =1+y/x
My Algebra training from 50 yrs ago & Algebrator 4 say "no further simplification possible"! Obviously, that's not true!
(x+y)/x= x/x+y/x=1+y/x
Do you have videos of Law of Sine and Cosine? Would love to watch it if you do!
@bradlewis8036
4 ай бұрын
You also will need to pay for the notes. Cost of learning.
Thanks again
(X+Y)/X = (X/X)+(Y/X) = 1+ (Y/X) or Y/X +1. 1+Y/X is not the same as 1+ (Y/X) because PEMDAS makes it (1+Y)/X. In other words, it is actually none of the above.
@MrSummitville
19 күн бұрын
Actually, 1 + y/x is exactly the same as 1 + (y/x). You do not understand PEMDAS
Left school 46 years ago, complete with a Higher Maths and don't have to worry about anything like this ever again. But thanks for reminding me of the misery of studying mathematics.
Love it im surprised i remember how much i remember. Its been 45 years. I always love to learn.
Fourteen minutes for say twenty-second answer. Split into two fractions then simplify.
@thenetsurferboy
4 ай бұрын
What too you so long? 3 seconds for me
@pinkalex7703
4 ай бұрын
Yeahh I agree split into two fractions and simplify....
@lugia8888
4 ай бұрын
You dont have to watch these videos
X + Y ______ X = X Y ___ + ___ X X when in this form you can see easily that it is 1 + y over x
C is the answer
The answer should be constrained such that "where x is not equal to zero" so technically the answer should be d).
@thenetsurferboy
4 ай бұрын
That does not enter the problem at this stage Answer is C Did he give an answer?
(X + Y) / X X/X + Y/X 1 + Y/X
It took me a split second for this one.
It is c. 1+y/x
First mistake...question doesnt match picture!
c) x≠0
I agree with the first guy ...split into two fractions and simplify to then with the radit...😅😅😅
C 1+y/x
Provided that x is restrained to not to be zero...
@richardhole8429
4 ай бұрын
For your alternate problem, xy/x and its solution y it is necessary to add the restraint x not= 0
@juan_ta
4 ай бұрын
@@richardhole8429 There is no alternate problem. When you simplify with the x above, you are completing the dominion of the expression on the values of x by using continuity. ...Well, OK, not so much, as the expression continues to diverge at x=0... (or it goes indeterminate if y can go to zero at the same time x does).
@richardhole8429
4 ай бұрын
@@juan_taJohn wrote the alternate problem to explain the difference in the numerator being x+y and x×y
@juan_ta
4 ай бұрын
@@richardhole8429 Richard, xy/x simplifies to y and (x+y)/x simplifies to 1+y/x. Provided that y is not zero, in the first case one is extending the dominion of the expression by including x=0 (forbidden for xy/x), while in the second case the simplified expression still diverges if x=0.
1+y/x
C)
Why is this difficult?
c)
1+x/y
Nah... just leave it as (x + y) / x
B
None
Humbling
Vastly overly complication explanation. Simply split into two factions, each with a denominator of X. (X/X) + (Y/X) = 1 + Y/X Why make a simple process into a Hollywood production as is commonly done in the common core math approach.
@ellentronicmistress4969
4 ай бұрын
He's explaining the technique not how to solve this specific problem
Cancelled out simplified
I do not have a cancell out button on my keypad
@thenetsurferboy
4 ай бұрын
You do before you send it
2 seconds brainpower needed: 1 + y/x
@Patrik6920
4 ай бұрын
indeed correct, but why? B-
@panlomito
4 ай бұрын
@@Patrik6920 Not B but C... ( x + y ) / x = x / x + y / x that's all. So only 2 seconds of delicious brainpower needed.
@Patrik6920
4 ай бұрын
@@panlomito ..and u didnt get the joke .. but nicely done A+ ...
@panlomito
4 ай бұрын
@@Patrik6920 Being autistic that's impossible.
(x+xy-y)
dnone
C all the way 😂
Y
Your video title and the actual problem don’t match. It’s x plus y over x not y.
your voice put me to sleep and Mathematics it is a very beautiful subject, you don't have to teach people why the answer does not work you have to teach them the correct way of solving a formula. go back to school