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

  • @danolson1467
    @danolson14674 ай бұрын

    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

    @martm216

    4 ай бұрын

    Yes I agree. Except that perhaps we could with a little less of advertising his courses.

  • @bigdog3628

    @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)

  • @bellanegrin3915
    @bellanegrin39154 ай бұрын

    I used to love mathematics when I knew the rules. It was like working puzzles and was fun.

  • @ibdense

    @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.

  • @user-sq2no7gr8b
    @user-sq2no7gr8b4 ай бұрын

    Excellent. I wish you were my teacher when I was in high school. ( 50 yrs ago)

  • @nickcellino1503
    @nickcellino15034 ай бұрын

    The simple rule that applies is: (a + b)/c = a/c + b/c. Of course, the opposite is also true.

  • @Hi-rw8vr
    @Hi-rw8vr4 ай бұрын

    Short explanation: x/x=1 You already have y/x Add them and you get 1+y/x

  • @captainstk001
    @captainstk0014 ай бұрын

    Why does X equal 1 and what does why represent

  • @russelllomando8460
    @russelllomando84604 ай бұрын

    great idea with number subs. thanks for the fun. also with mult cho... you can work backwards.

  • @bellanegrin3915
    @bellanegrin39154 ай бұрын

    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.

  • @proteus404
    @proteus4044 ай бұрын

    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

    @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).

  • @tomtke7351
    @tomtke73514 ай бұрын

    An algebra 101 basic principal: Distributive Principal. If u r NOT familar with it do a quick google search of the topic.

  • @upsanddowns8717
    @upsanddowns87174 ай бұрын

    The title is incorrect - Should say x + y over x - or am i the idiot?

  • @thenetsurferboy

    @thenetsurferboy

    4 ай бұрын

    No

  • @comdo777
    @comdo7774 ай бұрын

    asnwer=(b)1+y isit

  • @seibertmccormick184
    @seibertmccormick1844 ай бұрын

    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".

  • @krunoslavregvar477
    @krunoslavregvar4774 ай бұрын

    c) =1+y/x

  • @Mario-lv7wk
    @Mario-lv7wk4 ай бұрын

    My Algebra training from 50 yrs ago & Algebrator 4 say "no further simplification possible"! Obviously, that's not true!

  • @giannaleoci2328
    @giannaleoci23284 ай бұрын

    (x+y)/x= x/x+y/x=1+y/x

  • @achillessantos9101
    @achillessantos91014 ай бұрын

    Do you have videos of Law of Sine and Cosine? Would love to watch it if you do!

  • @bradlewis8036

    @bradlewis8036

    4 ай бұрын

    You also will need to pay for the notes. Cost of learning.

  • @matikramer9648
    @matikramer96484 ай бұрын

    Thanks again

  • @946towguy2
    @946towguy24 ай бұрын

    (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

    @MrSummitville

    19 күн бұрын

    Actually, 1 + y/x is exactly the same as 1 + (y/x). You do not understand PEMDAS

  • @jimpayne404
    @jimpayne4044 ай бұрын

    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.

  • @debbiepeterson6829
    @debbiepeterson68294 ай бұрын

    Love it im surprised i remember how much i remember. Its been 45 years. I always love to learn.

  • @spotwoodjones9249
    @spotwoodjones92494 ай бұрын

    Fourteen minutes for say twenty-second answer. Split into two fractions then simplify.

  • @thenetsurferboy

    @thenetsurferboy

    4 ай бұрын

    What too you so long? 3 seconds for me

  • @pinkalex7703

    @pinkalex7703

    4 ай бұрын

    Yeahh I agree split into two fractions and simplify....

  • @lugia8888

    @lugia8888

    4 ай бұрын

    You dont have to watch these videos

  • @johng.1703
    @johng.17034 ай бұрын

    X + Y ______ X = X Y ___ + ___ X X when in this form you can see easily that it is 1 + y over x

  • @user-nr2io6nk1t
    @user-nr2io6nk1t4 ай бұрын

    C is the answer

  • @jasonpoyer6575
    @jasonpoyer65754 ай бұрын

    The answer should be constrained such that "where x is not equal to zero" so technically the answer should be d).

  • @thenetsurferboy

    @thenetsurferboy

    4 ай бұрын

    That does not enter the problem at this stage Answer is C Did he give an answer?

  • @MrMousley
    @MrMousley4 ай бұрын

    (X + Y) / X X/X + Y/X 1 + Y/X

  • @L8rCloud
    @L8rCloud4 ай бұрын

    It took me a split second for this one.

  • @vasilicaciuca5165
    @vasilicaciuca51652 ай бұрын

    It is c. 1+y/x

  • @rodfulford4306
    @rodfulford43064 ай бұрын

    First mistake...question doesnt match picture!

  • @user-uw7mb7fo5y
    @user-uw7mb7fo5y4 ай бұрын

    c) x≠0

  • @pinkalex7703
    @pinkalex77034 ай бұрын

    I agree with the first guy ...split into two fractions and simplify to then with the radit...😅😅😅

  • @JJ_TheGreat
    @JJ_TheGreat4 ай бұрын

    C 1+y/x

  • @juan_ta
    @juan_ta4 ай бұрын

    Provided that x is restrained to not to be zero...

  • @richardhole8429

    @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

    @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

    @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

    @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.

  • @user-gl7co5oi7d
    @user-gl7co5oi7d4 ай бұрын

    1+y/x

  • @DayanandPandey-ns5qc
    @DayanandPandey-ns5qc4 ай бұрын

    C)

  • @jamesholden4571
    @jamesholden45714 ай бұрын

    Why is this difficult?

  • @danielmadden9691
    @danielmadden96914 ай бұрын

    c)

  • @LucyWalusiak
    @LucyWalusiak4 ай бұрын

    1+x/y

  • @mathmandrsam
    @mathmandrsam4 ай бұрын

    Nah... just leave it as (x + y) / x

  • @StarStream707
    @StarStream7074 ай бұрын

    B

  • @richfrazier8756
    @richfrazier87563 ай бұрын

    None

  • @robertdufour2456
    @robertdufour24564 ай бұрын

    Humbling

  • @GaryBricaultLive
    @GaryBricaultLive4 ай бұрын

    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

    @ellentronicmistress4969

    4 ай бұрын

    He's explaining the technique not how to solve this specific problem

  • @user-ri6rn7ti5h
    @user-ri6rn7ti5h4 ай бұрын

    Cancelled out simplified

  • @user-ri6rn7ti5h
    @user-ri6rn7ti5h4 ай бұрын

    I do not have a cancell out button on my keypad

  • @thenetsurferboy

    @thenetsurferboy

    4 ай бұрын

    You do before you send it

  • @panlomito
    @panlomito4 ай бұрын

    2 seconds brainpower needed: 1 + y/x

  • @Patrik6920

    @Patrik6920

    4 ай бұрын

    indeed correct, but why? B-

  • @panlomito

    @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

    @Patrik6920

    4 ай бұрын

    @@panlomito ..and u didnt get the joke .. but nicely done A+ ...

  • @panlomito

    @panlomito

    4 ай бұрын

    @@Patrik6920 Being autistic that's impossible.

  • @user-ri6rn7ti5h
    @user-ri6rn7ti5h4 ай бұрын

    (x+xy-y)

  • @user-ri6rn7ti5h
    @user-ri6rn7ti5h4 ай бұрын

    dnone

  • @alessioandreoli2145
    @alessioandreoli21454 ай бұрын

    C all the way 😂

  • @ernestcook4285
    @ernestcook42854 ай бұрын

    Y

  • @es8059
    @es80594 ай бұрын

    Your video title and the actual problem don’t match. It’s x plus y over x not y.

  • @greenorganicleaf7036
    @greenorganicleaf70364 ай бұрын

    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