(2 and 3/4) + 1/2 times 5/3 = ? What’s the first thing you should think about in this problem?

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How to solve a basic math problem - order of operations, PEMDAS and fractions. Learn more math at TCMathAcademy.....
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Комментарии : 84

@JoseMora-mn2kz 3 месяца назад

Love your content food for the brain keep up the good work thanks

@sawdust2556 3 месяца назад

I agree❤

@devonwilson5776 3 месяца назад

Greetings. The answer is 43/12 or 3 and 7/12. We do the calculations as follows, bring everything to improve fractions to get 11/4+5/6=(33+10)/12=43/12.

@haletparnther8936 3 месяца назад

I got your two answers

@devonwilson5776 3 месяца назад

@@haletparnther8936 Greetings. Be blessed.

@devonwilson5776 3 месяца назад

Greetings. Should be Improper Fractions.

@normhardy 3 месяца назад

Retired hs math teacher here: 43/12 . Mental fun, common de-bottom-aters after the multiplication

@russelllomando8460 3 месяца назад

woo hoo got it 43/12 PEMDAS and a lot of conversions... thanks for the fun.

@nyneeveanya8861 3 месяца назад

1977 year I graduated high school!

@tomtke7351 3 месяца назад

11/4 + 5/6 =33/12+10/12 =43/12

@st.george007 3 месяца назад

1/2 of 5/3 is 5/6, 2 3/4 + 5/6 will be just under 3 3/4. 1/6 below to be exact. Of the answers which one is close to 3 3/4? A, the other 3 answers are just too far away to be correct.

@krunoslavregvar477 3 месяца назад

a) 43/12=3 7/12

@thomasharding1838 15 дней назад

NO! NO! NO! It's 3 and 7/12!!! You're answer is SO IMPROPER!!!

@richardhole8429 3 месяца назад

By inspection. 2 3/4 + 5/6 will be a little less than 3 3/4. Answers B and C are too small, answer D is too big. Answer A must be correct. And to verify, 43/12 is greater than 3 and less than 4, choose it.

@gorm8248 3 месяца назад

Seems unnecessarily complicated. Why not use parentheses to remove any doubt about order of operations?

@gavindeane3670 3 месяца назад

A couple of things about that... Firstly, if you did that then this wouldn't be much use as a tool to teach order of operations. Secondly, the only bit of the order of operations that you need for this is knowing that multiplication has higher priority than addition. As that rule is so completely ubiquitous and fundamental to the way mathematics is written, it's entirely reasonable for teachers to teach it. It would be one hell of an omission if they didn't.

@thomasharding1838 3 месяца назад

The use of parentheses make the problem much clearer and easier to solve quickly. You do not have to scan over a long equation to see where the "x" and "÷" are to determine where to start. And it is easy to see a ÷ as a + sometimes. So USE THE PARENTHESES!

@gavindeane3670 3 месяца назад

@@thomasharding1838 If that was how we did it then mathematical notation would be more cluttered and less readable. Confusing ÷ with + is a non-issue because nobody should be using ÷ anyway. The inline division operator is /. And anyway, division is normally written as a horizontal line with numerator above and denominator below.

@thomasharding1838 3 месяца назад

@@gavindeane3670 Yes, division is normally written as the diagonal line but in many printed texts and RU-vid Videos, the ÷ symbol is used. Parentheses makes things clearer by directly tying function together when an order of operations is required.

@gavindeane3670 3 месяца назад

@@thomasharding1838The only rule that's relevant here is that multiplication has higher precedence than addition. That rule is ubiquitous and so fundamental to the way mathematics is written that nobody should have difficulty with it once they've been taught it. Yes, in general it is fine to use parentheses to add clarity, but the entire point of this video is to TEACH the precedence rule, so adding parentheses would completely defeat the object. There's a much bigger problem to complain about in the way this question is written. In mathematical notation we simply don't use the 2¾ mixed number format. The correct way to start the expression he's written here is either 3 2 + ----- 4 or just 11 ------ 4

@sawdust2556 3 месяца назад

Got it right! Yay! Love these!❤

@alexandrabloch1687 3 месяца назад

Shalom from Israel. Start with the multiplication

@terryjohinke8065 3 месяца назад

YOUR pemdas IS NOT CORRECT.

@sandratimmons9243 3 месяца назад

Please explain why you don’t think it’s correct.

@drsmoothee 3 месяца назад

@@sandratimmons9243😮and 😮are 😅😅😅

@zvbx 3 месяца назад

A) 3 7/12

@charlesmitchell5841 3 месяца назад

a) 43/12

@mintusaren895 3 месяца назад

Mathmaticians yet to discover.

@kralzuala1569 3 месяца назад

The correct answer is 43/12

@alexandrabloch1687 3 месяца назад

The commun denometator is 12

@nixxonnor 3 месяца назад

Why not convert the answer to mixed number fraction this time? When is it OK to have a numinator bigger than the denominator in the answer?

@gavindeane3670 3 месяца назад

It's always ok to have a bigger number in the numerator than the denominator. He could convert 43/12 to a mixed number format, but there's no need to.

@silviodias7540 3 месяца назад

11/4 + 1/2 x 5/3 = 11/4 + 5/6 = fazendo o ctuzamento, dá: 66 + 20 = 86 multiplicando os dominadores: 4 x 6 =24 Agora dividindo-se numerador pelo denominador: 86 / 24: simplificando; 23 / 12, opção a)

@ceeemm1901 3 месяца назад

Great vid once again, but at 16:14 you called 5/6 an "improper fraction", cheers.

@jameswashington8197 3 месяца назад

Don’t add to many factors in solving the problem the simpler the better

@samswift4921 3 месяца назад

I am glad you stopped being predictable by using A as the correct answer

@williegamble3022 3 месяца назад

Too much double talk

@Zivon23 3 месяца назад

Subscrided. Thanks for the mental refresh.

@يوسفحسينعبدالله-ز4ج 3 месяца назад

a) 43/12

@mossesmadjemite2289 3 месяца назад

A) 43/12

@josephlaura7387 3 месяца назад

a) 43/12

@alexandrabloch1687 3 месяца назад

33/12+10/12= 43/12

@benquinneyiii7941 3 месяца назад

Not 18

@DwilsonDA 3 месяца назад

(a)

@rajeshvyas934 3 месяца назад

@kco513 3 месяца назад

@audreydaleski1067 3 месяца назад

@alexandrabloch1687 3 месяца назад

Shalom

@bamssputro7966 3 месяца назад

3 7/12.

@chrisdissanayake6979 3 месяца назад

43/12

@sekharb6651 3 месяца назад

43/12

@samswift4921 3 месяца назад

43/12

@feisalmunas9300 3 месяца назад

43/12

@myownon4681 3 месяца назад

43/12

@PREGO1966 3 месяца назад

43/12

@tanialelaj6327 3 месяца назад

43/12

@artcraftmathcareenjoylearn1434 3 месяца назад

43/12

@vintagehomemaker9338 3 месяца назад

43/12

@SharifASSalah 3 месяца назад

Answer is A: 43/12

@dlkline27 3 месяца назад

Got it. Good exercise.

@Hewhowalks-fv5mq 3 месяца назад

Good mental maths

@raya.pawley3563 3 месяца назад

Thank you.

@erembald2927 3 месяца назад

@krishnamurthyg9404 3 месяца назад

3 7/12

@Ayelmar 3 месяца назад

Solved in my head at the thumbnail, I'm getting a) 43/12. 2 3/4 = 11/4 1/2 * 5/3 = 5/6 LCD of 4 and 6 is 24. Therefore: 11/4 * 6 = 66/24 5/6 * 4 = 20/24 66/24 + 20/24 = 86/24 86/24 simplifies to 43/12.

@thomasharding1838 3 месяца назад

LCD of 4 and 6 is 12.

@Kualinar 3 месяца назад

That's an elementary level problem. Elementary 4. In my classes, it was PEDMAS instead of PEMDAS. Same thing, different way of writing it. 43/12 can't be reduced. As 43 is the 14th prime number. Yes, I DID memorize the prime numbers up to 100.

@bigdog3628 3 месяца назад

remembering the prime numbers up to 100 is pretty impressive. I just did it the lazy way and did the bow tie method.

@Kualinar 3 месяца назад

@@bigdog3628 Had a math teacher who would give us problems that required prime factorial of number up to around a million. So, all the class ended up memorizing prime numbers. Add 75/685463 + 984/2864865 + 678/58636 Have fun.

@frankinga3120 3 месяца назад

43/12 is an improper fraction; the final answer is 3+7/12.

@raya.pawley3563 3 месяца назад

One thing I've noticed while tutoring at the local middle school and Jr college: an improper fraction is now the preferred answer rather than adding in a division task.

@gavindeane3670 3 месяца назад

Nothing wrong with improper fractions. Expressing an answer like this as an improper fraction is normal. Particularly if, as is often the case, you're working out the value because you need to do something with it (more calculations, substitute it back into an equation or formula, or whatever).

@donaldborland9760 3 месяца назад

Man you do love to babble. Just do,the math, explain how, and make this an informative five minute video. How many kids in your classes jumped out of the window to get away from your inane ramblings?

@JacquiR-iu1ur 3 месяца назад

A. 43/12

@skipbellon2755 3 месяца назад

This one was easy... because half of 5/3 is 5/6 and the only answer with a common denominator of 12 is A.

@thomasharding1838 3 месяца назад

Yes but unless you consider the rest of the Math, it could have been 84/12 or 7.

@skipbellon2755 3 месяца назад

True... I guess I got a little lucky.

@stevegreen2432 3 месяца назад

Real answer is 3 7/12, but you will say 43/12, which is not the final answer

@juandelacruz2244 3 месяца назад

Both answers are correct, though yours is a mixed fraction form while the other is in the form of improper fraction

@MrMousley 3 месяца назад

2 3/4 + 1/2 x 5/3 already I can see that 43/12 is the most likely answer because the LCD of 4 2 and 3 is 12 11/4 + 1/2 x 5/3 11/4 + 5/6 33/12 + 10/12 answer 43/12

@thomasharding1838 3 месяца назад

Not to repeat myself, but I will, "unless you consider the rest of the Math, it could have been 84/12 or 7."

@gavindeane3670 3 месяца назад

Technically none of them are correct because the question is invalid. We don't use mixed numbers like 2¾ in a mathematical expression like that. They’re OK for expressing a single value in isolation but they’re not correct notation within a mathematical expression. If we assume you wrote the beginning of the question correctly as 2 + ¾ +… or 11/4 +… then the answer is 43/12. Interesting that you present the correct answer as an improper fraction but you didn’t use an improper fraction in the question.

@rickkenson7471 3 месяца назад

Who told you "we don't use mixed numbers"?

@gavindeane3670 3 месяца назад

@@rickkenson7471 It's a bit of a weird way of writing a number. We all learn it in primary school when we first learn about division, and we express the result of a division as a number plus a remainder, but beyond that elementary level the mixed number format isn't really a thing. It doesn't work in a mathematical expression because the mixed number 2¾ is writing two things adjacent to each other, the 2 and the ¾, which are being added, but in mathematical notation writing two things next to each other indicates multiplication. Correct fractional representations of that value in mathematical notation would be 3 2 + --- 4 or 11 ------ 4