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

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  • Опубліковано 3 лип 2024
  • 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.

КОМЕНТАРІ • 332

  • @marianb2530
    @marianb2530 Рік тому +30

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  • @elsasuarez7786
    @elsasuarez7786 2 роки тому +23

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  • @almarubio1664
    @almarubio1664 2 роки тому +20

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  • @Aycore2011
    @Aycore2011 10 місяців тому +15

    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.

  • @cheristars1401
    @cheristars1401 2 роки тому +1

    One of the best so far

  • @user-oc7op4mz7r
    @user-oc7op4mz7r 9 місяців тому +2

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  • @mantwagermina8930
    @mantwagermina8930 Рік тому +4

    Thank you for helping my child she is passing ❤ ♥

  • @karinalopes6090
    @karinalopes6090 Рік тому +2

    thank you for this explanation!

  • @FestusKivuva
    @FestusKivuva Рік тому +8

    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  Рік тому +4

      You are very welcome!

    • @mostest
      @mostest 7 місяців тому +1

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

    • @diannegravesande
      @diannegravesande 6 місяців тому +1

      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 місяці тому +1

      True

  • @farxiyohirsi4725
    @farxiyohirsi4725 Рік тому +5

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  • @babalolamajasan3031
    @babalolamajasan3031 2 роки тому +2

    I really enjoy your lesson

  • @user-kh4jf5yb2t
    @user-kh4jf5yb2t 22 дні тому +1

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

  • @karthikeyanbalasubramaniam598
    @karthikeyanbalasubramaniam598 2 роки тому +2

    Awesome explanation! Easy to understand.

  • @PeteMel1875
    @PeteMel1875 3 місяці тому

    Great explanation

  • @blessing23466
    @blessing23466 2 місяці тому

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

  • @PhuocNguyen-js6hy
    @PhuocNguyen-js6hy 3 роки тому +1

    Great video

  • @dushauntemitchell9148
    @dushauntemitchell9148 2 роки тому +2

    Thank you so much you make it so easy

  • @mostest
    @mostest 7 місяців тому +2

    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🤞🏼😊🤗

  • @MUHAMMADALI-xp7sr
    @MUHAMMADALI-xp7sr Рік тому +2

    Thanks I learn it very well

  • @luzukombuqu4976
    @luzukombuqu4976 25 днів тому

    You are the best teacher ever ❤

  • @basileliboh493
    @basileliboh493 2 роки тому +1

    Thanks to you, sir.

  • @sayon1116
    @sayon1116 Рік тому +1

    Again love you sir 😘

  • @mariocesarsousa
    @mariocesarsousa 3 роки тому +4

    Excellent, as Always.✍️✍️✍️

  • @lauren9004
    @lauren9004 7 місяців тому +1

    Thank you!

  • @nathanieledum-fotwe266
    @nathanieledum-fotwe266 Місяць тому

    Your teaching ability is very good

  • @jinmeychen9179
    @jinmeychen9179 Рік тому +2

    Explain extremely clear 👍👍👍 Thank you very much 😊

  • @avycrisha92
    @avycrisha92 2 роки тому

    Thank you sir from Philippines

  • @dianakingclarke2248
    @dianakingclarke2248 Рік тому

    A million Thank yous!!!

  • @hlongshlongs8729
    @hlongshlongs8729 Рік тому

    Sir. Thank you 🙏

  • @Coco-yy9dy
    @Coco-yy9dy 2 роки тому +5

    ratio

  • @user-wt2mh1kb9p
    @user-wt2mh1kb9p 6 місяців тому +1

    I like the way you teach chemistry & mathematics grade

  • @darohun4278
    @darohun4278 Рік тому

    Thank you 😊 it was great

  • @belloadams9265
    @belloadams9265 Рік тому

    so nice prof jason

  • @sapouche4982
    @sapouche4982 9 місяців тому

    Thank you so much!

  • @user-mo5xe7td4v
    @user-mo5xe7td4v 3 місяці тому +1

    Your a good teacher I like your video . Thanks 👍

  • @nqobilemazibuko8667
    @nqobilemazibuko8667 2 роки тому +1

    Thank you so much 💓 💗 💛

  • @mihreteabgebremedhen5199
    @mihreteabgebremedhen5199 2 роки тому

    By easy way to understanding ❤❤

  • @stanellamaimee9026
    @stanellamaimee9026 2 роки тому +1

    thx for helping

  • @O5-7SCPFOUNDATION
    @O5-7SCPFOUNDATION Рік тому

    Thank youuuuu.i can finally understand ratio

  • @deqaabdi9740
    @deqaabdi9740 3 роки тому +1

    Thanks.

  • @nqobilemazibuko8667
    @nqobilemazibuko8667 2 роки тому +2

    Thank you for helping

  • @nicaylahtaichan9961
    @nicaylahtaichan9961 Рік тому +8

    This was so helpful! Thank you so much ! WOW

  • @tanushkakh9882
    @tanushkakh9882 3 роки тому +4

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

  • @liannaminguela2722
    @liannaminguela2722 2 роки тому +17

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

  • @user-de6ey3fe4h
    @user-de6ey3fe4h 2 місяці тому +1

    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-te3ik2rj2b 8 місяців тому +2

    Your explanations are the best 🎉😎😜🇵🇬

  • @jenniferinneh
    @jenniferinneh Рік тому +4

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

  • @yukthaamvlog3346
    @yukthaamvlog3346 2 роки тому

    I learned it very easily

  • @user-xp2xu6hq9e
    @user-xp2xu6hq9e 2 роки тому +3

    Ratio

  • @carolann1727
    @carolann1727 3 роки тому +11

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

    • @MathAndScience
      @MathAndScience  3 роки тому +1

      Will do! Thanks!!

    • @carolann1727
      @carolann1727 3 роки тому +4

      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 місяців тому

      Yes I agree ty sosososososso much

    • @mostest
      @mostest 7 місяців тому

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

  • @mondelinejean5017
    @mondelinejean5017 2 роки тому

    You are so good

  • @user-rm5nv5zo3c
    @user-rm5nv5zo3c 2 місяці тому

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

  • @garethbeatson9744
    @garethbeatson9744 Рік тому +2

    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
    @isolation1916 3 роки тому +2

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

  • @fantasankoh1616
    @fantasankoh1616 2 місяці тому

    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
    @Tamilore831 8 місяців тому +1

    Thank you so much sir

  • @jonatharivero8219
    @jonatharivero8219 2 роки тому

    good video

  • @Sumireiii
    @Sumireiii 2 роки тому +1

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

  • @saulgood2366
    @saulgood2366 3 роки тому +1

    Just what i needed

  • @chidinmaonyike3651
    @chidinmaonyike3651 Рік тому

    thanks

  • @shlomi8307
    @shlomi8307 Рік тому +1

    Love your teaching method remind me of good old day teachers

  • @athenaenergyshine7616
    @athenaenergyshine7616 Рік тому +2

    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?

  • @yousufyusuf7391
    @yousufyusuf7391 2 роки тому

    Good evening teacher

  • @tanacosgrove3306
    @tanacosgrove3306 2 роки тому +11

    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 Рік тому +6

      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 місяців тому +1

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

  • @Sleepy_Yawn
    @Sleepy_Yawn Рік тому

    very useful video

  • @moneyhungry9169
    @moneyhungry9169 2 роки тому +1

    How would you know what number to simplified with?

  • @samueldavidverdevillalobos3921
    @samueldavidverdevillalobos3921 4 місяці тому +1

    thank you

  • @kennygarcia102
    @kennygarcia102 Рік тому +1

    have any videos for dimensional analysis?

  • @roniejabello5800
    @roniejabello5800 2 роки тому

    Hi sir please make a video of Fibonacci sequence.

  • @anipaul3131
    @anipaul3131 3 місяці тому +1

    U are an excellent teacher

    • @anipaul3131
      @anipaul3131 3 місяці тому

      True

    • @WarrenKirkpatrick
      @WarrenKirkpatrick 2 місяці тому

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

  • @darkmidnight818
    @darkmidnight818 2 роки тому +17

    This is a ratio

  • @user-is5qw9uq2s
    @user-is5qw9uq2s 7 місяців тому +1

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

  • @miracleokoro8832
    @miracleokoro8832 3 роки тому +10

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

    • @MathAndScience
      @MathAndScience  3 роки тому +1

      Awesome! Thanks!

    • @frankdimeglio8216
      @frankdimeglio8216 2 роки тому

      @@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 Рік тому

    Thanks you

  • @user-gf6rn5rr6r
    @user-gf6rn5rr6r 4 місяці тому +1

    I need more of that

  • @unkown9563
    @unkown9563 3 роки тому +1

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

  • @soulreaver555
    @soulreaver555 Рік тому +1

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

  • @Thea-chan
    @Thea-chan 15 днів тому

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

  • @ceciliabeni5404
    @ceciliabeni5404 2 роки тому +3

    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😂)

  • @lorenzosingleton8712
    @lorenzosingleton8712 2 місяці тому +3

    What do you do if u can't simplify?

  • @aphroditesravenswatches3248
    @aphroditesravenswatches3248 2 роки тому

    How do you know what to divide them by.?

  • @paulawalker5116
    @paulawalker5116 2 роки тому +1

    This helped me alot tomorrow is my exam

  • @kimmaniejarrett2379
    @kimmaniejarrett2379 2 роки тому

    Yes I understand

  • @krzysztoflechowski5745
    @krzysztoflechowski5745 3 роки тому +1

    "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 роки тому

      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 роки тому

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

  • @brayleeking6010
    @brayleeking6010 Рік тому

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

  • @user-lg1tn5sj7k
    @user-lg1tn5sj7k 11 місяців тому

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

  • @racquelsabesaje4562
    @racquelsabesaje4562 Рік тому

    1:2

  • @gucciashton4731
    @gucciashton4731 3 роки тому +1

    The smartest person on UA-cam ❤️

    • @latishaperry1358
      @latishaperry1358 3 роки тому

      No he is not. There are other intelligent people on UA-cam.

    • @unkown9563
      @unkown9563 3 роки тому

      Oh tell who

    • @unkown9563
      @unkown9563 3 роки тому

      She told in teaching he is intelligent mad

    • @gucciashton4731
      @gucciashton4731 3 роки тому

      @@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 роки тому

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

  • @jamestanny849
    @jamestanny849 3 роки тому +3

    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 роки тому +1

      same so ima just gonna go to sleep

  • @musica-js9fx
    @musica-js9fx 2 роки тому

    You inspire me bro

  • @satyanaggiraddy9249
    @satyanaggiraddy9249 2 роки тому +1

    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_Milton 2 роки тому +4

    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.

  • @anacondaadultlearningcente4522
    @anacondaadultlearningcente4522 3 роки тому

    I love brave you are.

  • @user-sy5db9tq7x
    @user-sy5db9tq7x 9 місяців тому +1

    If I have a question

  • @hamidmahmood2407
    @hamidmahmood2407 3 місяці тому

    2:3

  • @mikoflow5778
    @mikoflow5778 Рік тому

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

  • @kkm227
    @kkm227 2 роки тому +3

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

  • @hemarajue2736
    @hemarajue2736 3 роки тому +1

    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.

  • @wandilemngadi
    @wandilemngadi Місяць тому

    Thank 0:36

  • @osmirod1
    @osmirod1 3 роки тому +1

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

    • @freedom30soon64
      @freedom30soon64 3 роки тому +1

      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.