x + y over y = ? A BASIC Math concept MANY will get WRONG!
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- Опубликовано: 11 фев 2024
- Common math mistakes with fractions and rational expressions.
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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.
Yes I agree. Except that perhaps we could with a little less of advertising his courses.
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.
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)
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.
The simple rule that applies is: (a + b)/c = a/c + b/c. Of course, the opposite is also true.
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
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).
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".
Do you have videos of Law of Sine and Cosine? Would love to watch it if you do!
You also will need to pay for the notes. Cost of learning.
Love it im surprised i remember how much i remember. Its been 45 years. I always love to learn.
An algebra 101 basic principal:
Distributive Principal.
If u r NOT familar with it do a quick google search of the topic.
Why does X equal 1 and what does why represent
asnwer=(b)1+y isit
My Algebra training from 50 yrs ago & Algebrator 4 say "no further simplification possible"!
Obviously, that's not true!
Short explanation:
x/x=1
You already have y/x
Add them and you get 1+y/x
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.
c) =1+y/x
Thanks again
(x+y)/x=
x/x+y/x=1+y/x
The title is incorrect - Should say x + y over x - or am i the idiot?
No
C is the answer
I agree with the first guy ...split into two fractions and simplify to then with the radit...😅😅😅
X + Y
______
X
=
X Y
___ + ___
X X
when in this form you can see easily that it is 1 + y over x
The answer should be constrained such that "where x is not equal to zero" so technically the answer should be d).
That does not enter the problem at this stage
Answer is C
Did he give an answer?
It took me a split second for this one.
(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.
Actually, 1 + y/x is exactly the same as 1 + (y/x). You do not understand PEMDAS
C)
Fourteen minutes for say twenty-second answer. Split into two fractions then simplify.
What too you so long?
3 seconds for me
Yeahh I agree split into two fractions and simplify....
You dont have to watch these videos
C 1+y/x
c)
c) x≠0
(X + Y) / X
X/X + Y/X
1 + Y/X
1+y/x
First mistake...question doesnt match picture!
It is c. 1+y/x
Provided that x is restrained to not to be zero...
For your alternate problem, xy/x and its solution y it is necessary to add the restraint x not= 0
@@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).
@@juan_taJohn wrote the alternate problem to explain the difference in the numerator being x+y and x×y
@@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.
B
1+x/y
2 seconds brainpower needed: 1 + y/x
indeed correct, but why? B-
@@Patrik6920 Not B but C... ( x + y ) / x = x / x + y / x that's all.
So only 2 seconds of delicious brainpower needed.
@@panlomito ..and u didnt get the joke .. but nicely done A+ ...
@@Patrik6920 Being autistic that's impossible.
Humbling
I do not have a cancell out button on my keypad
You do before you send it
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.
He's explaining the technique not how to solve this specific problem
Nah... just leave it as (x + y) / x
Cancelled out simplified
C all the way 😂
None
Why is this difficult?
dnone
(x+xy-y)
Your video title and the actual problem don’t match. It’s x plus y over x not y.
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