Yes. This is a necessary skill, but I almost always dislike equations that don't actually have an answer. Although, memorizing equations you just need to insert the actual values in are very handy. He's a good teacher for those who are just learning. I haven't had a mathematics class in decade and do these in my head.
@@rampakeshbharat1938 He could be a lot better, but I once had a math teacher in public school that made him look like a genius. Luckily I managed to get transferred to another class were they actually taught the subject and made it fun to boot.
If we're dividing by 30b / 9a then that means multiplying by 9a / 30b. So the numerator is 5a × 9a = 45a² Denominator is 3b × 30b = 90b² We can cancel a factor of 45 from numerator and denominator, leaving a² / 2b². But that's simplifying, not solving.
When I see "÷ X" I replace it with "× (1/X)" so (5a/3b) ÷ (30b/9a) becomes (5a/3b) × (9a/30b) = (5/30)(9/3)(a^2/b^2) = (1/6)(3)(a^2/b^2) = (1/2)(a^2/b^2)
Alright, let’s do this. (5a / 3b) / (30b / 9a) Before anything else, division by a fraction? How about multiplication by the reciprocal, much better! (5a / 3b) * (9a / 30b) Now, welcome to the cancel party. 5 and 30 reduce to 1 and 6, while 3 and 9 reduce to 1 and 3: (1a / 1b) * (3a / 6b) (a / b) * (3a / 6b) The party ain’t over till I say it’s over! The remaining 3 and 6 reduce to 1 and 2: (a/b)*(1a/2b) (a/b) * (a/2b) Now the cancel party is over. All that is left is to multiply: (a * a) / (b * 2b) a^2 / (2b^2) And that’s it. Simple, yes?
solve NO. simplify YES...
Where’s that Drake meme?
Yes. This is a necessary skill, but I almost always dislike equations that don't actually have an answer. Although, memorizing equations you just need to insert the actual values in are very handy.
He's a good teacher for those who are just learning. I haven't had a mathematics class in decade and do these in my head.
@@johnshaw6702
He's a very poor teacher, makes too many mistakes and never corrects them...
@@rampakeshbharat1938 He could be a lot better, but I once had a math teacher in public school that made him look like a genius. Luckily I managed to get transferred to another class were they actually taught the subject and made it fun to boot.
Merry Christmas Mr RUclips Math Man.
Merry Christmas 🎄!
5a/3b ÷ 30b/9a
Reciprocal Method
5a/3b × 9a/30b
=45a^2/90b^2
Answer: a^2 ➗ 2b^2
------------
5a 30b
--- ➗----
3b 9a
5a 9a
-- x ---
3b 30b
45a^2
----
90b^2
a^2
---
2b^2
[a/5] : [7/c] = a · c / 5 · 7 = ac/35
-----------------------------------------------------
[5a/3b] : [30b/9a] = [5a · 9a] / [3b · 30b]
[5a · 9a] / [3b · 30b] = 45a²/90b² = a²/2b²✅
(5a/(3b)):(30b/(9a))=
(5a/3b)*(9a/30b)=
=(45a^2)/(90b^2)=
=a^2/(2b^2)=1/2(a^2/b^2)
a^2/2b^2
5a/3b ÷ 30b/9a = (5a · 9a)/(3b · 30b) = 5a²/10b² = a²/2b².
45a^2/90b^2
45/90 = 1/2, hence: a²/2b²
A2/2b2
5a / 3b x 9a / 30b = 45a² / 90b² = a² / 2b²
*.*.* Happy holidays and a mathical new year ! *.*.*
If we're dividing by 30b / 9a then that means multiplying by 9a / 30b.
So the numerator is 5a × 9a = 45a²
Denominator is 3b × 30b = 90b²
We can cancel a factor of 45 from numerator and denominator, leaving a² / 2b².
But that's simplifying, not solving.
45a/90b
got a^2 / 2b^2 just invert 1 of the fractions and X accross, then reduce. simple. thanks for the fun.
a Square/2bSquare.
a²/2b²
After the reciprocal, I cross multiplied.
When I see
"÷ X"
I replace it with
"× (1/X)"
so
(5a/3b) ÷ (30b/9a)
becomes
(5a/3b) × (9a/30b)
= (5/30)(9/3)(a^2/b^2)
= (1/6)(3)(a^2/b^2)
= (1/2)(a^2/b^2)
a²/(2b²) in about 12 seconds in my head. Sorry it took so long.
The answer is NO.
I cannot solve it until I get more information.
But I can simplify it.
“Algeberric” isn’t a word.
Alright, let’s do this.
(5a / 3b) / (30b / 9a)
Before anything else, division by a fraction? How about multiplication by the reciprocal, much better!
(5a / 3b) * (9a / 30b)
Now, welcome to the cancel party. 5 and 30 reduce to 1 and 6, while 3 and 9 reduce to 1 and 3:
(1a / 1b) * (3a / 6b)
(a / b) * (3a / 6b)
The party ain’t over till I say it’s over! The remaining 3 and 6 reduce to 1 and 2:
(a/b)*(1a/2b)
(a/b) * (a/2b)
Now the cancel party is over. All that is left is to multiply:
(a * a) / (b * 2b)
a^2 / (2b^2)
And that’s it. Simple, yes?
a2/ 2b2
=45a^2 / 90b^2