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

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
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.

Пікірлер: 332

  • @marianb2530
    @marianb2530 Жыл бұрын

    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

    @MathAndScience

    Жыл бұрын

    Welcome!

  • @faizashah1798

    @faizashah1798

    8 ай бұрын

    Same here

  • @elsasuarez7786
    @elsasuarez77862 жыл бұрын

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

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @almarubio1664
    @almarubio16642 жыл бұрын

    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

    @MathAndScience

    2 жыл бұрын

    Thank you!

  • @alicegoodman4544

    @alicegoodman4544

    Жыл бұрын

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

  • @athenaenergyshine7616

    @athenaenergyshine7616

    Жыл бұрын

    I still need to make up from 1st grade

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @Aycore2011
    @Aycore201110 ай бұрын

    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

    @Mr.idontknow

    2 ай бұрын

    ummm

  • @DexterDrubo-ch4fi

    @DexterDrubo-ch4fi

    2 ай бұрын

    that went from wholesome to weird real quick..

  • @Aycore2011

    @Aycore2011

    2 ай бұрын

    @@DexterDrubo-ch4fi I fixed it

  • @cheristars1401
    @cheristars14012 жыл бұрын

    One of the best so far

  • @user-oc7op4mz7r
    @user-oc7op4mz7r9 ай бұрын

    thx so so so much my little cousin now understands it

  • @mantwagermina8930
    @mantwagermina8930 Жыл бұрын

    Thank you for helping my child she is passing ❤ ♥

  • @karinalopes6090
    @karinalopes6090 Жыл бұрын

    thank you for this explanation!

  • @FestusKivuva
    @FestusKivuva Жыл бұрын

    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

    @MathAndScience

    Жыл бұрын

    You are very welcome!

  • @mostest

    @mostest

    7 ай бұрын

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

  • @diannegravesande

    @diannegravesande

    6 ай бұрын

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

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @babalolamajasan3031
    @babalolamajasan30312 жыл бұрын

    I really enjoy your lesson

  • @farxiyohirsi4725
    @farxiyohirsi4725 Жыл бұрын

    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

    @MathAndScience

    Жыл бұрын

    Awesome!

  • @user-kh4jf5yb2t
    @user-kh4jf5yb2t23 күн бұрын

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

  • @karthikeyanbalasubramaniam598
    @karthikeyanbalasubramaniam5982 жыл бұрын

    Awesome explanation! Easy to understand.

  • @katacaicedo5760

    @katacaicedo5760

    Жыл бұрын

    Definitely 😊

  • @PeteMel1875
    @PeteMel18753 ай бұрын

    Great explanation

  • @blessing23466
    @blessing234662 ай бұрын

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

  • @PhuocNguyen-js6hy
    @PhuocNguyen-js6hy3 жыл бұрын

    Great video

  • @dushauntemitchell9148
    @dushauntemitchell91482 жыл бұрын

    Thank you so much you make it so easy

  • @MUHAMMADALI-xp7sr
    @MUHAMMADALI-xp7sr Жыл бұрын

    Thanks I learn it very well

  • @luzukombuqu4976
    @luzukombuqu497625 күн бұрын

    You are the best teacher ever ❤

  • @mostest
    @mostest7 ай бұрын

    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🤞🏼😊🤗

  • @basileliboh493
    @basileliboh4932 жыл бұрын

    Thanks to you, sir.

  • @sayon1116
    @sayon1116 Жыл бұрын

    Again love you sir 😘

  • @mariocesarsousa
    @mariocesarsousa3 жыл бұрын

    Excellent, as Always.✍️✍️✍️

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Thank you!

  • @lauren9004
    @lauren90047 ай бұрын

    Thank you!

  • @nathanieledum-fotwe266
    @nathanieledum-fotwe266Ай бұрын

    Your teaching ability is very good

  • @jinmeychen9179
    @jinmeychen9179 Жыл бұрын

    Explain extremely clear 👍👍👍 Thank you very much 😊

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Glad it was helpful!

  • @avycrisha92
    @avycrisha922 жыл бұрын

    Thank you sir from Philippines

  • @dianakingclarke2248
    @dianakingclarke2248 Жыл бұрын

    A million Thank yous!!!

  • @hlongshlongs8729
    @hlongshlongs8729 Жыл бұрын

    Sir. Thank you 🙏

  • @Coco-yy9dy
    @Coco-yy9dy2 жыл бұрын

    ratio

  • @user-wt2mh1kb9p
    @user-wt2mh1kb9p6 ай бұрын

    I like the way you teach chemistry & mathematics grade

  • @darohun4278
    @darohun4278 Жыл бұрын

    Thank you 😊 it was great

  • @belloadams9265
    @belloadams9265 Жыл бұрын

    so nice prof jason

  • @sapouche4982
    @sapouche49829 ай бұрын

    Thank you so much!

  • @user-mo5xe7td4v
    @user-mo5xe7td4v3 ай бұрын

    Your a good teacher I like your video . Thanks 👍

  • @nqobilemazibuko8667
    @nqobilemazibuko86672 жыл бұрын

    Thank you so much 💓 💗 💛

  • @mihreteabgebremedhen5199
    @mihreteabgebremedhen51992 жыл бұрын

    By easy way to understanding ❤❤

  • @stanellamaimee9026
    @stanellamaimee90262 жыл бұрын

    thx for helping

  • @O5-7SCPFOUNDATION
    @O5-7SCPFOUNDATION Жыл бұрын

    Thank youuuuu.i can finally understand ratio

  • @deqaabdi9740
    @deqaabdi97403 жыл бұрын

    Thanks.

  • @nqobilemazibuko8667
    @nqobilemazibuko86672 жыл бұрын

    Thank you for helping

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @nicaylahtaichan9961
    @nicaylahtaichan9961 Жыл бұрын

    This was so helpful! Thank you so much ! WOW

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    You are very welcome!

  • @tanushkakh9882
    @tanushkakh98823 жыл бұрын

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

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @liannaminguela2722
    @liannaminguela27222 жыл бұрын

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

  • @user-de6ey3fe4h
    @user-de6ey3fe4h2 ай бұрын

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

  • @user-te3ik2rj2b
    @user-te3ik2rj2b8 ай бұрын

    Your explanations are the best 🎉😎😜🇵🇬

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @jenniferinneh
    @jenniferinneh Жыл бұрын

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

  • @yukthaamvlog3346
    @yukthaamvlog33462 жыл бұрын

    I learned it very easily

  • @user-xp2xu6hq9e
    @user-xp2xu6hq9e2 жыл бұрын

    Ratio

  • @LordVader066

    @LordVader066

    Жыл бұрын

    Counter

  • @carolann1727
    @carolann17273 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Will do! Thanks!!

  • @carolann1727

    @carolann1727

    3 жыл бұрын

    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

    @mostest

    7 ай бұрын

    Yes I agree ty sosososososso much

  • @mostest

    @mostest

    7 ай бұрын

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

  • @mondelinejean5017
    @mondelinejean50172 жыл бұрын

    You are so good

  • @user-rm5nv5zo3c
    @user-rm5nv5zo3c2 ай бұрын

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

  • @garethbeatson9744
    @garethbeatson9744 Жыл бұрын

    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?

  • @isolation1916
    @isolation19163 жыл бұрын

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

  • @fantasankoh1616
    @fantasankoh16162 ай бұрын

    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.

  • @Tamilore831
    @Tamilore8318 ай бұрын

    Thank you so much sir

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @jonatharivero8219
    @jonatharivero82192 жыл бұрын

    good video

  • @Sumireiii
    @Sumireiii2 жыл бұрын

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

  • @saulgood2366
    @saulgood23663 жыл бұрын

    Just what i needed

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Yes!

  • @chidinmaonyike3651
    @chidinmaonyike3651 Жыл бұрын

    thanks

  • @shlomi8307
    @shlomi8307 Жыл бұрын

    Love your teaching method remind me of good old day teachers

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Thank you so much!!

  • @LordVader066

    @LordVader066

    Жыл бұрын

    @@MathAndScience ratio

  • @athenaenergyshine7616
    @athenaenergyshine7616 Жыл бұрын

    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

    @anipaul3131

    3 ай бұрын

    True

  • @yousufyusuf7391
    @yousufyusuf73912 жыл бұрын

    Good evening teacher

  • @tanacosgrove3306
    @tanacosgrove33062 жыл бұрын

    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

    @godschild4621

    Жыл бұрын

    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

    @mostest

    7 ай бұрын

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

  • @Sleepy_Yawn
    @Sleepy_Yawn Жыл бұрын

    very useful video

  • @moneyhungry9169
    @moneyhungry91692 жыл бұрын

    How would you know what number to simplified with?

  • @samueldavidverdevillalobos3921
    @samueldavidverdevillalobos39214 ай бұрын

    thank you

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @kennygarcia102
    @kennygarcia102 Жыл бұрын

    have any videos for dimensional analysis?

  • @roniejabello5800
    @roniejabello58002 жыл бұрын

    Hi sir please make a video of Fibonacci sequence.

  • @anipaul3131
    @anipaul31313 ай бұрын

    U are an excellent teacher

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @WarrenKirkpatrick

    @WarrenKirkpatrick

    3 ай бұрын

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

  • @darkmidnight818
    @darkmidnight8182 жыл бұрын

    This is a ratio

  • @user-is5qw9uq2s
    @user-is5qw9uq2s7 ай бұрын

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

  • @miracleokoro8832
    @miracleokoro88323 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Awesome! Thanks!

  • @frankdimeglio8216

    @frankdimeglio8216

    2 жыл бұрын

    @@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

  • @cecillecuenca2097
    @cecillecuenca2097 Жыл бұрын

    Thanks you

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Welcome

  • @user-gf6rn5rr6r
    @user-gf6rn5rr6r4 ай бұрын

    I need more of that

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @unkown9563
    @unkown95633 жыл бұрын

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

  • @soulreaver555
    @soulreaver555 Жыл бұрын

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

  • @Thea-chan
    @Thea-chan16 күн бұрын

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

  • @ceciliabeni5404
    @ceciliabeni54042 жыл бұрын

    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

    @gabbyonroblox3869

    2 жыл бұрын

    Agree

  • @itsyagirlmay

    @itsyagirlmay

    Жыл бұрын

    I said sugar instead🤣

  • @rosaliedunstan6408

    @rosaliedunstan6408

    9 ай бұрын

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

  • @mostest

    @mostest

    7 ай бұрын

    👍🏼

  • @lorenzosingleton8712
    @lorenzosingleton87122 ай бұрын

    What do you do if u can't simplify?

  • @carlosoliva4804

    @carlosoliva4804

    Ай бұрын

    At 3:48 he explains it😊

  • @aphroditesravenswatches3248
    @aphroditesravenswatches32482 жыл бұрын

    How do you know what to divide them by.?

  • @paulawalker5116
    @paulawalker51162 жыл бұрын

    This helped me alot tomorrow is my exam

  • @kimmaniejarrett2379
    @kimmaniejarrett23792 жыл бұрын

    Yes I understand

  • @LordVader066

    @LordVader066

    Жыл бұрын

    Understand this ratio

  • @krzysztoflechowski5745
    @krzysztoflechowski57453 жыл бұрын

    "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

    @iandegnin6696

    3 жыл бұрын

    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

    @dhanichandralimbu3837

    2 жыл бұрын

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

  • @brayleeking6010
    @brayleeking6010 Жыл бұрын

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

  • @user-lg1tn5sj7k
    @user-lg1tn5sj7k11 ай бұрын

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

  • @racquelsabesaje4562
    @racquelsabesaje4562 Жыл бұрын

    1:2

  • @gucciashton4731
    @gucciashton47313 жыл бұрын

    The smartest person on KZread ❤️

  • @latishaperry1358

    @latishaperry1358

    3 жыл бұрын

    No he is not. There are other intelligent people on KZread.

  • @unkown9563

    @unkown9563

    3 жыл бұрын

    Oh tell who

  • @unkown9563

    @unkown9563

    3 жыл бұрын

    She told in teaching he is intelligent mad

  • @gucciashton4731

    @gucciashton4731

    3 жыл бұрын

    @@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

    @latishaperry1358

    3 жыл бұрын

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

  • @jamestanny849
    @jamestanny8493 жыл бұрын

    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_

    @annleigh_

    2 жыл бұрын

    same so ima just gonna go to sleep

  • @musica-js9fx
    @musica-js9fx2 жыл бұрын

    You inspire me bro

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    This made my day. Awesome to hear!!

  • @LordVader066

    @LordVader066

    Жыл бұрын

    inspire this ratio

  • @satyanaggiraddy9249
    @satyanaggiraddy92492 жыл бұрын

    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?

  • @Sunny_Milton
    @Sunny_Milton2 жыл бұрын

    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

    @MathAndScience

    2 жыл бұрын

    So happy to read this!

  • @anacondaadultlearningcente4522
    @anacondaadultlearningcente45223 жыл бұрын

    I love brave you are.

  • @user-sy5db9tq7x
    @user-sy5db9tq7x9 ай бұрын

    If I have a question

  • @hamidmahmood2407
    @hamidmahmood24073 ай бұрын

    2:3

  • @mikoflow5778
    @mikoflow5778 Жыл бұрын

    Excuse me does ratio involve only 2 nos? Not 3 or 4??

  • @kkm227
    @kkm2272 жыл бұрын

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

  • @anipaul3131

    @anipaul3131

    3 ай бұрын

    True

  • @hemarajue2736
    @hemarajue27363 жыл бұрын

    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

    @peterverbeke1383

    3 жыл бұрын

    no

  • @wandilemngadi
    @wandilemngadiАй бұрын

    Thank 0:36

  • @osmirod1
    @osmirod13 жыл бұрын

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

  • @freedom30soon64

    @freedom30soon64

    3 жыл бұрын

    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.