What is a Ratio in Math? Understand Ratio & Proportion - [6-3-1]

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In this lesson, you will learn what a ratio is and why we use ratios in math. You will also learn how to represent a ratio as a fraction and also how to write a ratio in colon notation. A ratio is a comparison between two numbers. A proportion is when two ratios are equal to one another. For example, if we have a room with 10 boys and 5 girls, we might write the ratio of boys to girls as 10:5, or as a fraction, 10/5. We can then simplify this ratio just like we simplify any fraction down to the simplest ratio, 2/1 in this case. This ratio indicates that in this room there are 2 boys for every 1 girl. We use ratios in all math subject areas to solve a wide variety of problems.

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30 июн 2024

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Комментарии : 332

@marianb2530 Год назад

I like the way you teach...very detailed and I love it! I am an adult who has gone back to school, nursing school that is. I am preparing for the TEAS. I found your videos sometime last week and I am thankful!! God bless you!

@MathAndScience Год назад

Welcome!

@faizashah1798 8 месяцев назад

Same here

@almarubio1664 2 года назад

I just got your app because I’m trying to study astrophysics and there’s so much math involved. I’m literally starting from 8th grade math to remember and LEARN things my middle and high school teachers failed to. Thank you so much for being great at teaching!

@MathAndScience 2 года назад

Thank you!

@alicegoodman4544 Год назад

Your math teacher did what your brain could understand. 500 +500=1000.

@athenaenergyshine7616 Год назад

I still need to make up from 1st grade

@anipaul3131 3 месяца назад

True

@elsasuarez7786 2 года назад

I was failing my math and then this guy helped me, thank you! 😊☺️

@anipaul3131 3 месяца назад

True

@Aycore2011 9 месяцев назад

You sir are the best! Thank you for the crystal clear explanations sir! You've corrected my intuition for ratios and proportions in this series.

@Mr.idontknow 2 месяца назад

ummm

@DexterDrubo-ch4fi 2 месяца назад

that went from wholesome to weird real quick..

@Aycore2011 2 месяца назад

@@DexterDrubo-ch4fi I fixed it

@user-oc7op4mz7r 9 месяцев назад

thx so so so much my little cousin now understands it

@FestusKivuva Год назад

You are simply the best! You have taught me a lot in mathematics especially when I was preparing for my GRE exam. I managed to pass the exam through your excellent coaching and am so grateful sir. Thank you so much

@MathAndScience Год назад

You are very welcome!

@mostest 7 месяцев назад

Ikr he's literally the best I wish every teacher was like him ❤️❤️❤️

@diannegravesande 6 месяцев назад

I love this video so much I wouldn't even start watching this is the and this would be useful 2 years ago😢😢😢😢😢😢

@anipaul3131 3 месяца назад

True

@cheristars1401 2 года назад

One of the best so far

@karthikeyanbalasubramaniam598 2 года назад

Awesome explanation! Easy to understand.

@katacaicedo5760 Год назад

Definitely 😊

@farxiyohirsi4725 Год назад

This man has been teaching my dad for so long and he helps me so much I literally had 53 out of 55 in my maths test!!!!!!!!!

@MathAndScience Год назад

Awesome!

@user-kh4jf5yb2t 19 дней назад

You're such a good grade six teacher and now I can solve math problems with no problem 😂😂😂❤❤❤❤😊😊😊😊😅😅

@babalolamajasan3031 2 года назад

I really enjoy your lesson

@karinalopes6090 Год назад

thank you for this explanation!

@mantwagermina8930 Год назад

Thank you for helping my child she is passing ❤ ♥

@tanushkakh9882 3 года назад

He’s the one, who explains the concepts, instead of makin us the same learn!

@anipaul3131 3 месяца назад

True

@mostest 7 месяцев назад

Thank you so much for helping me learn better than my teacher can 😂 but u really are a life saver my parents don't really remember math so I can't get help with my hw and Im so happy I found u so i can learn better so ty so sosoosos much🤞🏼😊🤗

@blessing23466 2 месяца назад

One of the best teacher I have ever met. Good job. I am a mature adult and I got it!

@jinmeychen9179 Год назад

Explain extremely clear 👍👍👍 Thank you very much 😊

@MathAndScience Год назад

Glad it was helpful!

@mariocesarsousa 3 года назад

Excellent, as Always.✍️✍️✍️

@MathAndScience 3 года назад

Thank you!

@isolation1916 3 года назад

And you are very good at this keep teaching all of us we need stuff luke this hehe...

@dushauntemitchell9148 2 года назад

Thank you so much you make it so easy

@carolann1727 3 года назад

Your videos are fantastic and very helpful. Please keep them coming!!!

@MathAndScience 3 года назад

Will do! Thanks!!

@carolann1727 3 года назад

I’m really relying on your teachings to help me to help my daughter. She thinks she’s allergic to math. She’s got it in her head that she can’t do it, word problems, that is. So your explanations are wonderful.

@mostest 7 месяцев назад

Yes I agree ty sosososososso much

@mostest 7 месяцев назад

I do think I have a disorder tho😂 I'm dum dum 😂😂😅

@liannaminguela2722 2 года назад

This helped me so much!! I am so grateful I found your channel. Thank you!!

@fantasankoh1616 2 месяца назад

There are also ratio problems that are given in word problem asking to give the ratio of an unknown item, giving the number for one of the items & also the total for both items.

@PhuocNguyen-js6hy 3 года назад

Great video

@athenaenergyshine7616 Год назад

This has been eye opening. I wondered if you could help me out on this. I struggled between ratio and fraction. The denominator of fraction means out of or how many parts is divided into , whilst ratio is comparison. Yet they can be written the same way. Why is this and how can I tell the difference when I am looking at denominator of fraction wether is ratio or fraction if they can be written in the same way?

@anipaul3131 3 месяца назад

True

@Coco-yy9dy 2 года назад

ratio

@user-de6ey3fe4h 2 месяца назад

Thank you you are the best you just saved my life for school I have ratio as a presentation so thank you

@MUHAMMADALI-xp7sr Год назад

Thanks I learn it very well

@garethbeatson9744 Год назад

so are just doing smallest on the top of the fraction and biggest on the bottom or is it boys on the top and girls on the bottom?

@user-wt2mh1kb9p 6 месяцев назад

I like the way you teach chemistry & mathematics grade

@user-mo5xe7td4v 3 месяца назад

Your a good teacher I like your video . Thanks 👍

@basileliboh493 2 года назад

Thanks to you, sir.

@PeteMel1875 3 месяца назад

Great explanation

@Sumireiii 2 года назад

you helped me a lot! you teach better than my teacher xD

@Thea-chan 12 дней назад

Math would have been my favorite subject had you been my math teacher then.

@dianakingclarke2248 Год назад

A million Thank yous!!!

@nathanieledum-fotwe266 Месяц назад

Your teaching ability is very good

@shlomi8307 Год назад

Love your teaching method remind me of good old day teachers

@MathAndScience Год назад

Thank you so much!!

@LordVader066 Год назад

@@MathAndScience ratio

@lauren9004 6 месяцев назад

Thank you!

@luzukombuqu4976 21 день назад

You are the best teacher ever ❤

@user-rm5nv5zo3c Месяц назад

Thanks for Understanding me I was so confused of what my teacher said to me about ratio

@user-te3ik2rj2b 8 месяцев назад

Your explanations are the best 🎉😎😜🇵🇬

@anipaul3131 3 месяца назад

True

@sayon1116 Год назад

Again love you sir 😘

@nqobilemazibuko8667 2 года назад

Thank you for helping

@anipaul3131 3 месяца назад

True

@darohun4278 Год назад

Thank you 😊 it was great

@ceciliabeni5404 2 года назад

Great teacher , thank you so much for doing it i am learning so much( not quite sure about the amount of flour compared to salt😂)

@gabbyonroblox3869 2 года назад

Agree

@itsyagirlmay Год назад

I said sugar instead🤣

@rosaliedunstan6408 9 месяцев назад

I was laughing about the amount of salt too. 😅😅😅

@mostest 7 месяцев назад

👍🏼

@nqobilemazibuko8667 2 года назад

Thank you so much 💓 💗 💛

@O5-7SCPFOUNDATION Год назад

Thank youuuuu.i can finally understand ratio

@krzysztoflechowski5745 3 года назад

"Ratio is a comparison of two numbers" is the most brilliant statement I've heard in a long time. It's kind of obvious when you think about it after, but to put it in these words takes a genius. However, I object of saying the 3:6 is the same as 1:2. Following your thought, these are two separate comparisons, they may be algebraically equivalent, but when you reduce the ratio you lose original information. Which might be undesired. Reduction is just another mathematical tool that you ,ay could want to use. Or not.

@iandegnin6696 3 года назад

I think the point that's being made is that ratios are -specifically- the comparison between two numbers, not the numbers themselves. There are valid reasons to retain the information and you may choose to write your ratio with the original numbers or record the two numbers as well as the ratio, but -as far as a ratio is concerned-, 3:6 IS the same as 1:2; they're mathematically identical.

@dhanichandralimbu3837 2 года назад

I support u. 3:6 is never equal to 1:2 but they may be equivalent to each other .

@sapouche4982 8 месяцев назад

Thank you so much!

@moneyhungry9169 2 года назад

How would you know what number to simplified with?

@jenniferinneh Год назад

Thank you very much I have absolutely no ideal what ratios is. But now I do ❤❤

@nicaylahtaichan9961 Год назад

This was so helpful! Thank you so much ! WOW

@MathAndScience Год назад

You are very welcome!

@mihreteabgebremedhen5199 2 года назад

By easy way to understanding ❤❤

@kennygarcia102 Год назад

have any videos for dimensional analysis?

@avycrisha92 2 года назад

Thank you sir from Philippines

@hlongshlongs8729 Год назад

Sir. Thank you 🙏

@belloadams9265 Год назад

so nice prof jason

@tanacosgrove3306 2 года назад

The ratio of 3 boys to 6 girls is not a fraction. It is a part to part ratio - fractions are part to whole! We have to be careful with our language. Another thing is that we are not "simplifying" as much as we are scaling up or down. This language helps build conceptual understanding.

@godschild4621 Год назад

and you came here to say this why? many understand and are learning and that's all that matter. I didn't get math at all but he made it seem easy.

@mostest 7 месяцев назад

Oh ok I'm still getting better grades but that's still helping to know❤

@stanellamaimee9026 2 года назад

thx for helping

@yukthaamvlog3346 2 года назад

I learned it very easily

@unkown9563 3 года назад

Plz sir also make videos on science and chemistry from basic level plz sir make it

@saulgood2366 3 года назад

Just what i needed

@MathAndScience 3 года назад

Yes!

@Tamilore831 7 месяцев назад

Thank you so much sir

@anipaul3131 3 месяца назад

True

@Sunnymilton_ 2 года назад

Thank you so much. You have explained ratio so well that it becomes very much easy to deal with. I used to struggle solving ratio, but after watching your video I have a much better understanding.

@MathAndScience 2 года назад

So happy to read this!

@jamestanny849 2 года назад

If anyone could help me out, it would ve much appreciated thanks :) See below: I don’t like to use calc and want to do as much as possible without it. How can I shorten these fractions? 126 / 294 & 308 / 231 Easily, because when it comes to big numbers like this, I have to spend lots of time shortening them. Its really difficult.

@annleigh_ 2 года назад

same so ima just gonna go to sleep

@deqaabdi9740 3 года назад

Thanks.

@soulreaver555 Год назад

I learned my math from Jan & Dean, 'Two girls for every boy'🎶 Surf City

@roniejabello5800 2 года назад

Hi sir please make a video of Fibonacci sequence.

@user-is5qw9uq2s 7 месяцев назад

How do you get the number that you divide with 😢???

@mondelinejean5017 2 года назад

You are so good

@miracleokoro8832 3 года назад

I love you, i've learnt it very easy with you

@MathAndScience 3 года назад

Awesome! Thanks!

@frankdimeglio8216 2 года назад

@@MathAndScience E=mc2 is F=ma. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy, AS E=MC2 IS F=MA. The Earth (A PLANET) is a MIDDLE DISTANCE form that is in BALANCED relation to the Sun AND the speed of light (c), AS the stars AND PLANETS are POINTS in the night sky; AS E=MC2 IS F=MA; AS TIME DILATION ultimately proves ON BALANCE that ELECTROMAGNETISM/energy is gravity. Indeed, TIME is NECESSARILY possible/potential AND actual IN BALANCE; AS E=MC2 IS F=MA; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS E=mc2 is F=ma; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, AS E=MC2 IS F=MA ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Accordingly, the rotation of WHAT IS THE MOON matches it's revolution. MOREOVER, a given PLANET (INCLUDING WHAT IS THE EARTH) sweeps out EQUAL AREAS in equal times consistent WITH/AS F=ma, E=mc2, AND what is perpetual motion; AS E=MC2 IS F=MA ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. By Frank DiMeglio

@kkm227 2 года назад

what is the ratio of 29 to 21? is that correct to write 1.4:1?

@anipaul3131 3 месяца назад

True

@satyanaggiraddy9249 2 года назад

Sir please help me thi sum i can't understand Sudha has $5 with radha is 3 times tha money with sudha .how much money.... What is the ratio of radha and sudha's money? What is the ratio of sudha's money and radha's money?

@paulawalker5116 2 года назад

This helped me alot tomorrow is my exam

@yousufyusuf7391 2 года назад

Good evening teacher

@user-gf6rn5rr6r 4 месяца назад

I need more of that

@anipaul3131 3 месяца назад

True

@anipaul3131 3 месяца назад

True

@anipaul3131 3 месяца назад

U are an excellent teacher

@anipaul3131 3 месяца назад

True

@WarrenKirkpatrick 2 месяца назад

Wish I had him in school… would have invented my own crypto currency lol

@lorenzosingleton8712 2 месяца назад

What do you do if u can't simplify?

@carlosoliva4804 Месяц назад

At 3:48 he explains it😊

@jonatharivero8219 2 года назад

good video

@hemarajue2736 3 года назад

Is it mondatory to take a smaller number first and then larger number for comparison? Ratio of 1 million to 1 billion=10^6/10^9=1/1000 or 1:1000. Ratio of 10 feet to 20 inches= 10/20=1/2 or 1:2.

@peterverbeke1383 3 года назад

@brayleeking6010 Год назад

OK I understand it but how did you divide 4÷2 how did you get 2

@aphroditesravenswatches3248 2 года назад

How do you know what to divide them by.?

@user-xp2xu6hq9e 2 года назад

Ratio

@LordVader066 Год назад

Counter

@guidofeliz8384 3 года назад

I am still waiting for advanced calculus material. I am still waiting for advanced, graduate school level mathematics.

@samueldavidverdevillalobos3921 3 месяца назад

thank you

@anipaul3131 3 месяца назад

True

@gucciashton4731 3 года назад

The smartest person on RU-vid ❤️

@latishaperry1358 3 года назад

No he is not. There are other intelligent people on RU-vid.

@unkown9563 3 года назад

Oh tell who

@unkown9563 3 года назад

She told in teaching he is intelligent mad

@gucciashton4731 3 года назад

@@latishaperry1358 yes he most certainly is the smartest in my opinion. He teaches multiple topics on his website, some that aren't even his major, like statistics which a lot of people struggle with but he's teaching that like a professor. His IQ will be much higher than average, he is one of those achievers who are scoring 3 standard deviations above the mean. He's the 100th percentile type.

@latishaperry1358 3 года назад

@@gucciashton4731 in your opinion. It's not rational he is not the smartiedt

@faizashah1798 8 месяцев назад

Sir about the ratio of 8:20 I have got 4: 10 by dividing 2 instead of 4 did its wrong way .

@chidinmaonyike3651 Год назад

thanks

@dontroastmeyoucantroasttrash 2 года назад

Thank you so much I would have flunked math if it weren’t for you

@osmirod1 3 года назад

What if there is no common denominator to simplify the ratio?

@freedom30soon64 2 года назад

If you mean that your ratio of two numbers is in fraction form, just simplify the fractions by inverse multiplying both nominator and denominator by the denominator fraction and you will get your simplified ratio.

@mukhtaarjaamac8763 2 года назад

Ratio and fraction difference i was look for many years but i get

@user-lg1tn5sj7k 11 месяцев назад

5:26 1:5.2 For every 5 inches is 26 feet For every 1 inch is 5.2 feet

@musica-js9fx 2 года назад

You inspire me bro

@MathAndScience 2 года назад

This made my day. Awesome to hear!!

@LordVader066 Год назад

inspire this ratio

@amanda24september77 2 года назад

Thanks for your video 🎓🎓💖💨👏👌👍💻

@amanda24september77 2 года назад

😥 you saved me

@MathAndScience 2 года назад

So happy to help!

@senuoyizahg490 Год назад

The thing that I do not get sir is that in the 1st eg of Boys and Girls, u divided 3 by 3 and 6 by 3. and in the 2nd eg u divided 4 by 2 and 6 by 2. My question is why did u divide the 1st eg by 3 and the 2nd by 2, I mean where did u get 3 and 2 ?