(5a/3b) divided by (30b/9a) = ? Divide RATIONAL Expressions

[@HeatherGee5107]

Merry Christmas Mr KZbin Math Man.

[@Ignoranceisbliss-i2e]

solve NO. simplify YES...

[@stevendebettencourt7651]

Where’s that Drake meme?

[@johnshaw6702]

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]

​@@johnshaw6702 He's a very poor teacher, makes too many mistakes and never corrects them...

[@johnshaw6702]

@@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.

[@daniellerosalie2155]

I simplified it instantly in my head. I have seen approximately five of your videos. You're a great teacher, and I like your "Mr. Math Man" reference. I have a degree in mathematics and tutored college math for two years. Merry Christmas, and thank you!

[@charlesmitchell5841]

Merry Christmas 🎄!

[@valerieobanya5172]

5a/3b ÷ 30b/9a Reciprocal Method 5a/3b × 9a/30b =45a^2/90b^2

[@chrisdissanayake6979]

Answer: a^2 ➗ 2b^2 ------------ 5a 30b --- ➗---- 3b 9a 5a 9a -- x --- 3b 30b 45a^2 ---- 90b^2 a^2 --- 2b^2

[@Stylux-z1p]

[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✅

[@krunoslavregvar477]

(5a/(3b)):(30b/(9a))= (5a/3b)*(9a/30b)= =(45a^2)/(90b^2)= =a^2/(2b^2)=1/2(a^2/b^2)

[@charlesmitchell5841]

45a^2/90b^2

[@ab_ab_c]

45/90 = 1/2, hence: a²/2b²

[@josephlaura7387]

a^2/2b^2

[@KW-gb9cd]

5a/3b ÷ 30b/9a = (5a · 9a)/(3b · 30b) = 5a²/10b² = a²/2b².

[@panlomito]

5a / 3b x 9a / 30b = 45a² / 90b² = a² / 2b² *.*.* Happy holidays and a mathical new year ! *.*.*

[@abdollahzakaria8206]

A2/2b2

[@gavindeane3670]

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.

[@robertmcdonald8342]

45a/90b

[@russelllomando8460]

got a^2 / 2b^2 just invert 1 of the fractions and X accross, then reduce. simple. thanks for the fun.

[@pas6295]

a Square/2bSquare.

[@Gamerscruise]

a²/2b²

[@charliemurray8076]

After the reciprocal, I cross multiplied.

[@tomtke7351]

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)

[@mylittlepitbull3143]

The answer is NO. I cannot solve it until I get more information. But I can simplify it.

[@cyruschang1904]

I can simplified it, but there is nothing to solve here [(5a)(9a)] ÷ [(3b)(30b)] = (a^2)/(2b^2)

[@argonwheatbelly637]

a²/(2b²) in about 12 seconds in my head. Sorry it took so long.

[@kevinwesterlund1495]

“Algeberric” isn’t a word.

[@stevendebettencourt7651]

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?

[@brianmoulton1309]

a2/ 2b2

[@georgecattani7199]

=45a^2 / 90b^2