3/8 times 2 squared divided by 2/3 + 1/5 = ? Many will get BASIC Math Problem WRONG!
HTML-код
- Опубликовано: 2 июл 2024
- Order of operations practice problem - how to solve a math problem using PEMDAS. Learn more math at TCMathAcademy.com/.
TabletClass Math Academy - TCMathAcademy.com/
Help with Middle and High School Math
Test Prep for High School Math, College Math, Teacher Certification Math and More!
Popular Math Courses:
Math Foundations
tabletclass-academy.teachable...
Math Skills Rebuilder Course:
tabletclass-academy.teachable...
Pre-Algebra
tabletclass-academy.teachable...
Algebra
tabletclass-academy.teachable...
Geometry
tabletclass-academy.teachable...
Algebra 2
tabletclass-academy.teachable...
Pre-Calculus
tabletclass-academy.teachable...
Math Notes: tcmathshop.com/
If you’re looking for a math course for any of the following, check out my full Course Catalog at: TCMathAcademy.com/courses/
• MIDDLE & HIGH SCHOOL MATH
• HOMESCHOOL MATH
• COLLEGE MATH
• TEST PREP MATH
• TEACHER CERTIFICATION TEST MATH
Both BODMAS and PEMDAS rules would be better shown this way:
P.E.(D&M).(A&S).
So many people just remember that 6 letter acronym they were taught, but forget that both D & M are the same order of operations and should be done together, and similarly both A & S are the same order of operations and should be done together.
Super simple rewrite to multiplication and addition then solve with PEMA
2² * 3/8 * 3/2 + 1/5
4 * 3/8 * 3/2 + 1/5
36/16 + 1/5
9/4 + 1/5
Final answer is 49/20 OR 2 and 9 20ths.
Nice exercise, thank you!
3/8 times 2^2 divided by 2/3 plus 1/5 2^2 first
3/8 times 4 divided by 2/3 plus 1/5 now do 3/8 times 4
12/8 divided by 2/3 plus 1/5 'simplify' 12/8 to make 3/2
3/2 divided by 2/3 plus 1/5 flip 2/3 and multiply instead
3/2 times 3/2 plus 1/5 do that multiplication
9/4 plus1/5 LCD of 4 and 5 is 20
45/20 plus 4/20 = 49/20 which is one of your choices !
Calculated this in my head:
3/8 x 4 = 3/2 and 3/2 / 2/3 = 3/2 x 3/2 = 9/4
then 9/4 + 1/5 = 45/20 + 4/20 = 49/20
In about 30 seconds I reckoned the answer to be 2.45, which seemingly equates to 49/20.
Mr Teacher, thank you, you're awesome!!!!!
Because I have been watching your programs, I was able to solve this right away!
So I was under the assumption that we should convert the improper fraction to the mixed, what is the reason for leaving it as an improper fraction?
You definitely got my attention with this problem.
got it 49/20 just fraction conversion 3/8 x 4 = 12/8 then / by 2/3 flip to 3/2 and X = 36/16 then + 1/5
bow tie and X the denom = 196/80 / by 4 = 49/20 thanks for the fun
I almost had it but forgot pemdas! Thank you
49/20 I used PEMDAS!! Thanks, Mr YT Math Man!!! 😁
3/8 • 4 = 12/8
12/8 • 3/2 = 36/16
36/16 reduces to 9/4
9/4 + 1/5 = 45/20 + 4/20 = 49/20
Got it: 49/20. PEMDAS is the key.
calculated it in my head.👍
3/8 x 4 = 3/2; 3/2 /2/3 = 9/4; 9/4+ 1/5 = 45/20 + 4/20 = 49/20
c) 49/20
49/20
Yup ...still got a bit left anyways, lol...all in my head as well....within a couple minutes
C) 49/20
2.45
C This took several attempts, but eventually figured it out.
Got it :)
10÷2×5
1
I got it right!
Old school was BODMAS (Bracket, Off, Divide, Multiply, Add, Subtract)
The O in BODMAS is Orders, meaning powers and roots. It's the same as Exponents in PEMDAS. BODMAS and PEMDAS are the same thing.
The answer 49/20, but you can simplify.
10 * 2 and 4 * 5 and of course 20 * 1 are the only ways to get 20 through multiplication.
49 is NOT divisible by any of those except 1.
So it can NOT be simplified. It can however be turned into a mix number.
Which of course would be 2 and 9 20ths
1.5
C)
49/20👍
2 9/20
Correction, what sort of an answer is 49/20!
It's the answer! You could also express it as 2.45, but since the entire question is in fractions I think it seems more natural to express the answer as a fraction.
What else were you expecting?
The answer is 49/20
EZ 49/20
49/20 (C) Only used paper for the addition.
Well... Some peoples are objectively bad a math. Those are the poor souls with discalculia. Similar to dyslexia, but with numbers. For them, «2», «two» and «3» are indistinguishable.
Some people even think Math is short for Mathematics
I learned to turn all into decimals and got 2.45.... doing it the fraction way is confusing to me
It might be worth thinking about why it's confusing, and seeing if you can get to grips with calculating with fractions.
This particular question happened to involve fractions that are easily converted to decimal. But not all fractions are easily converted to decimal so being able to do the calculations with fractions is useful.
@@gavindeane3670 most are tho
@@JustMe-vf3geMost? For single digit denominators from ½ to ⅑ only half of them are easily represented as a decimal. There are 11 more denominators from 1/10 to 1/20 and only three of those are easily represented as fractions, and it'll just get worse from there.
Yes, there are a few special cases of denominators that can easily be represented as a decimal, but it's not most.
1
I am 69 and that was easy
what sort of answer is 40/20? How about 98/40 or 147/60? They are all correct, aren't they? Final answers should always be in their simplest forms.
The answer is
49
------
20
Using inline notation that is written 49/20.
i meant 49/20!
@@lawrencemoore2414Yeah I assumed that was just a typo. It was your original comment I was questioning. 49/20 IS the simplest form of the answer here.
Huh? 3/8 of 4 is 1.5 since 1/8 of 4 is 0.5. Or you could just say 4/8 which is 1/2, then multiply by 3 which gives you 1.5. Next you divide by 2/3? No, you multiply by 3/2. Obviously. So that is 2.25. Then you add .2 and you get 2.45. I would say it took be about 1/10th of a second to see the answer and frankly I know I'm not a rocket scientist. It worries me that anyone would teach in such a way that you end up with 49/20 (which is, of course, 2.45).
49/20 is the answer. What's the problem with that?
If you find it more natural to convert these numbers to decimals then that's fine. 2.45 is obviously a perfectly acceptable way to express the answer too.
But there's no basis for assuming everyone else necessarily thinks of the problem that way, and no justification for seeking to force them to do so.
This question happens to involve fractions that are easy to work with as decimals, but not all fractions are easily converted to decimals. There is obvious value in being able to do calculations like this without converting to decimal.
49/20
Shabat shalom
@@gavindeane3670 I don't particularly care how the answer is expressed, only that using fractions is slower and more cumbersome in deriving a result. I was born in the era of fractions (I am 68) but as a budding scientist I transitioned to the decimal system at around age 14. It's much easier to work with decimal in science and engineering.
@@alexandrabloch1687 I should add that I looked at the problem and saw the answer in under five seconds. Plus 49/20? The first thing I would do, seeing that answer, is divide (quickly) to 2.5 because it's just easier to appreciate what it means.
I can’t believe you wasted over 20 minutes on this problem, especially since all you did was confuse people. There is no PEMDAS necessary for this problem, the solution has nothing to do with order of operations, other than you add the 1/5 at the end.
The first thing you must recognize immediately is you invert and multiply giving you 6 after canceling which you multiply by 3/8 which is 18/8 = 9/4, which you then add 1/5, which gives 45/20 + 4/20 after you find the least common denominator which gives the result 49/20.
Notice I didn’t use PEMDAS, and I didn’t work it left to right!
My calculator and I got 9/20 .... 2^2/2/3 *3/8+1/5 !?
You need to put the 2/3 in parentheses.
BODMAS is what we learnt.
2^2=4
Divide first
Then multiply
You will get 9/4+1/5
LCM=20 ( denominator)
Then solve it u get 45+4 =49 (numerator)
49/20 is the answer
BODMAS and PEMDAS are the same - because D and M are same order of operations and you do them all in one step from left to right. Same with A and S, you do those all in one step from left to right, if a subtraction is the leftmost operation at that step you do that subtraction first.
Both rules would be better shown as P.E.(D&M).(A&S).
@@ernesthakey3396 Where did you learn that crap?
Not in grade 3 I am sure
Read Pemdas and Bomdas from left to right
@@thenetsurferboy Given that I have a BS in Mathematics from MIT, I'm pretty sure I know what I am talking about when it comes to algebra. In general, if all you have is a string of multiplication and division, it doesn't actually matter which you do them in, but there can be cases where you need to resolve things left to right.
Here's the official definition of BODMAS:
"What is the BODMAS rule?
The BODMAS rule follows the order of the BODMAS acronym, i.e. B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication A - Addition, and S - Subtraction. The BODMAS rule states that mathematical expressions with multiple operations need to be solved from left to right in the order of BODMAS. Division and Multiplication are considered as interchangeable and depend on which comes first in the expression, as are Addition and Subtraction."
Note that last sentence - D and M are interchangeable, and you solve them in the order of which comes first in the expression.
@@thenetsurferboy here it is restated slightly differently from another source, but same thing D/M are resolved at the same time, left to right:
"BODMAS meaning
When presented with a number sentence containing more than one operation (such as 3 + 4 x 2), the operations cannot be completed from left to right, but instead in their order of “importance,” which is what BODMAS stands for.
BODMAS stands for:
Brackets
Orders
Division/Multiplication
Addition/Subtraction
“Orders” means square roots and indices (which you may know as square numbers, powers, or exponents)."
@@thenetsurferboy note that PEMDAS puts multiplication first, while BODMAS puts division first, but both are legitimate - that's because in BOTH cases which one is shown first in the mnemonic doesn't matter because you do both during the same pass, just start at the left end of the expression and proceed through it, doing whichever one comes along.
Obviously that pass is done after first resolving all sub-expressions in parentheses and then resolving all exponents ie orders.
Too much talk. This guy takes forever due to a lot of extraneous bs. You need a time limit. Shut up and calculate.
Hmmm... I get E) None of the above; because it comes out to 7/5. (or 28/20 before being simplified to 7/5.)
3/5
25
NO… 45 /26
49/20
2 9/20
1
49/20
49/20
1