(3 and 1 /2) squared divided by (2 and 1/3) squared =? many will make a MISTAKE!

[@honjohnest]

Many of your problems I get correct by a completely different path. (3 1/2 ) / (2 1/3) Squared = (7/2) / (7/3) Squared = (21/6) / (14/6) Squared = (21/6) * (6/14) Squared = (21 / 14) Squared = 1.5 Squared = 2.25 P.S. I am 78 years old… Thank you for the lessons. I am also John with a math BD of 01/23/45

[@TheRockMorton]

Did you use a slide rule to square 1.5 lol?

[@highpath4776]

@@TheRockMorton quicker to do it in your head. could actually do with lessons on how to use a slide rule, something I was never taight, I think it includes something to do with logs

[@arnold80s94]

These videos keeping me on my toes and reminding me of things I've forgotten. Great daily revision

[@darkaether2798]

Before the video starts then.. (7/2)^2 divided by (7/3)^2 =… 49/4 divided by 49/9 =… Invert last one and multiply = 49/4 x 9/49. 49 on each side will cancel out, So the answer is 9/4 or 2 1/4 or (3/2)^2

[@Kleermaker1000]

The same here.

[@devonwilson5776]

Greetings. The answer is 9/4 =2 1/4. The first part of the expression is 49/4 and the second part is 49/9. Therefore, from 49/4 ÷ 49/9 we have 49/4 ×9/49 after inverting. Moving forward, 49 cancels itself in the numerator and denominator leaving us with the answer 9/4. Mental math.

[@Geoff_G]

Well. That is way easier than the hard way I did it. Lol

[@devonwilson5776]

@@Geoff_G Greetings. Be blessed.

[@mikesullivan5219]

That's how I completed the problem....49/4 × 9/49...cross cancel the 49...9/4

[@devonwilson5776]

@@mikesullivan5219 Greetings. We are thinking alike, similarly.

[@brendawalters3728]

If a student turned in 2 1/4, would you take away points.

[@michaelmappin4425]

I'm getting smarter for no foreseeable reason. 😊

[@tusk242]

ok see the steps. To save extra time doing it such a long way. Hope I do no forget.

[@aishakhan4474]

Yes 1 more thing is / sign which is coverted into multiplication and the other due to this the other value inverse so the answer is 9/4

[@vaughanbbrean71]

(7/2 x 7/2) divided by (7/3 x 7/3) = (49/4)divided by (49/9) so Lowest common denominator of 4 and 9 is 36 49x9= 441 and 49x4=196 so now its 441/36 divided by 196/36 = 441/196 = 2 1/4 or 2.25

[@aryusure1943]

I did it in following PEMDAS and got it faster than I would have with your "simplified" method. But I get that the method is effective when we have bigger numbers but when you rewrite the equation like you did you need to mention why we don't need to follow PEMDAS for the new equation. Ex: If we have 7/2 X 7/ 2 divided by 7/3 X 7/3 as our final equation the result would not be the same if we apply PEMDAS to it, no? I get what you do but you need to explain why we don't need to follow the letter of PEMDAS when we change the equation. Or else some of your students will come up with this result: 49/4.

[@delroymorgan3480]

What of 21/4 as opposed to9/4? 2/4 being in simplest form.

[@russelllomando8460]

Got it but I definately did it the hard way. Squared before factoring the 7s.

[@mikedaley2882]

I love your channel but you're the only one doing this without a calculator!!

[@coolsprings6420]

He's teaching the math

[@TheRockMorton]

Once upon a time I had a math instructor telling us students "math is not a spectator sport." Gotta practice to become skilled.

[@mingkee27]

Don't worry about ² as they're cancelled 3 1/2 >>> 7/2 2 1/3 >>> 7/3 Now (7/2)/(7/3) >>> 7/2 * 3/7 7 is cancelled out >>> 3/2 Answer is 3/2 or 1 1/2

[@picantesworld7723]

That's what I got 1 1/2 were both wrong. Yes as in regular fractions it would of been correct, but I forgot about squaring fractions you don't multiply them first then flip as you do regular fractions. Second set you flip them and eliminate like factors first then multiply across. And keep the fraction improper.

[@LA610]

if this were a test....don't you have to finish the fraction to 2 1/4 or 2.25? Just curious?

[@IRanOutOfPhrases]

Almost always, 9/4 is acceptable as an answer. You'd only need to rewrite in another format id the question specifically asked for it in that format. 2.25 would probably be the least preferred answer though (but certainly still acceptable). Mathmeticians prefer fractions over decimals because they more easily convey exactness.

[@degatyphoon]

I'm with you. He even says in the explanation that you have to simplify and yet did not.

[@IRanOutOfPhrases]

@@degatyphoon 9/4 is simplified. 18/8 is not simplified

[@afre3398]

If you gave the answer 2.25 it would have shown that you used your calculator and not math. So I would say 2 1/4 and 9/4 are OK. 2.25 is not. In these days everybody can type in an equation on your calculator and press equal

[@darkaether2798]

Or (3/2)^2, using the same sort of format as the question

[@danielmadden9691]

9/4

[@thomassauve6385]

Why did you say to give your answer in the simplest form, then proceed to say that the answer is 9/4? instead of saying it’s 2.25 or 2 1/4. How is 100/200 incomplete and not 9/4?

[@charlesstarling1091]

2.25 or 2 1/4

[@DayanandPandey-ns5qc]

Answer. 3/2

[@stevenjohnson1143]

Simple 9/4 or 2 and 1/4

[@danieldennis9831]

49/4÷49/9 49/4•9/49 9/4

[@domenikahila8585]

7/2×7/2 × 3/7/× 3/7

[@DayanandPandey-ns5qc]

Ans. 9/4

[@maxinemcafee4893]

3/4

[@CV-uy1jc]

Got it 2-1/4

[@berlinjackson1847]

2.25

[@rodfulford4306]

1 1/2

[@maxinemcafee4893]

Ooops, 9/4

[@MaydayAggro]

9/4 in my head

[@dngrwllrbnsn_]

My guess is 12

[@domenikahila8585]

49/4 × 49/ 9

[@smaug1234]

Math is a funny thing, they will tell you that 100/200 and 1/2 are the same thing but crap on you for not writing down the second one :)

[@jefferyfarr6542]

147/98

[@aishakhan4474]

I have the right answer

[@argonwheatbelly637]

9/4 in about 10 seconds. Sorry, I'm really beat. 😔

[@carolynstewart8465]

Don't despair, it's not that difficult is WHY I despair 😨

[@denisrenaldo3506]

You maintain ambiguous writing like 3 1/2 or 2 1/3. Hopefully the presentation text is clearer : "3 and 1/2" or "2 and 1/3". No need to use this type of writing, except if you want to put more confusion in student minds…

[@aishakhan4474]

31/2=7/2 with power of 2= 14/4 21/3=7/3 with power of 2= 14/9 Now 14 nd 14 divided with each other and remaining is 4/9

[@nickgooch]

You lost me on this one. I’m normally pretty good at mental math but I was way off and your explanation didn’t help. How can the answer be 9/4 when (3x3) / (2x2) is 9/4. What happened to the 1/2 and the 1/3?

[@suemoore1965]

I would NOT want you as a teacher for my kids. Please quit saying many will get this wrong. Be positive when you are teaching anyone.

[@cliffgassett6291]

Sue, I think the point is that we absolutely can learn, but there are methods that we have to practice. If we don’t master the fundamentals, we will fail. So, please don’t take the thumbnail as a negative, take it as an invitation to learn to succeed.

[@suemoore1965]

@@cliffgassett6291 I had someone, a teacher, constantly judging me from 6th to 8th grade. No matter what I did it was never enough. Fast forward I went to college and I graduated with honors. I have three degrees. I just wish he would take a more optimistic or positive start to the problems he gives us.

[@cliffgassett6291]

@@suemoore1965 I’m sorry you had that experience. I avoided algebra and calculus because I had a terrible experience in High School. My point is, criticism is not a bad thing, as long as it is done in a positive way. I see we were in school in about the same time ( I graduated in 1982), there were a lot of arrogant teachers then.

[@billtsekaris565]

It would be nice if you talk less

[@harrymatabal8448]

9/4

[@fosterhensleycm8378]

9/4

[@mollymam7153]

9/4

[@BuddyMoran]

9/4