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How to add, subtract, multiply, divide fractions

12 August 2012 by Simon 82 Comments

How to add, subtract, multiply, divide fractions is an important foundational skill.

Learn these, practice them and always keep to the same methods!

There are 6 main numeracy skills that will help with your maths. Click here to read more.

Click here to visit subtraction skills, multiplication skills, divisions skills videos.

Fraction manipulation represents around 1/3rd (yes, really!) of a typical GCSE paper. Questions such as:

  • 1/3 + 7/8 = ?
  • percentages
  • ratio
  • division
  • comparisons
  • gradient
  • equations
  • algebra
  • probability
  • and so on ..

… all will use fractions in some form.

The study of fractions is one of the most important parts of foundational maths study. Fractions can be a little easier to ‘visualise’ when you are calculating. Try to develop a ‘reasonableness check’ while you are working through the calculations. For instance:

A quarter of 63456 is around 15,000

  • because it’s nearly 60,000.
  • and
  • a quarter is half of a half*

try to ‘see’ a half of a half as a quarter, like this:

 the quarter is half of the half

It gets a little trickier with some advanced fractions. Perhaps using ‘nearly equivalents’ would be helpful… such as 9/16 is around a half, or, 3/14 is a little less than a quarter.

Try some of the videos. Maybe you could stop halfway and try to guess the answer.

Equivalent fractions

Mixed numbers to improper fractions

Improper fractions to mixed numbers

How to add fractions – part 1

How to add fractions – part 2

How to takeaway or subtract fractions – part 1

How to takeway or subtract fractions – part 2

How top multiply fractions

How to multiply mixed fractions – including whole numbers

How to divide fractions – coming soon 🙂

 

Watch how to add, subtract, multiply, divide fractions on my YouTube channel.

Comments

  1. ilLinoiSe says

    4 May 2015 at 10:31

    Thank you so much again love your vids they help alot. Helped revise on my
    test.

    By the way if i my put a little suggestion, you should get a a better
    microphone so that the quality of hearing is better. Just a little
    suggestion.

    Reply
  2. Tom Watson says

    6 April 2015 at 11:43

    Thanks for helping me a lot! 🙂

    Reply
  3. Su Lawson says

    9 March 2015 at 16:36

    Thank you very much you really helped my children

    Reply
  4. Rachit54123 says

    5 January 2015 at 20:50

    syuo

    Reply
  5. sr01Nano says

    25 November 2014 at 01:32

    Good video thanks

    Reply
  6. Angel Williams says

    30 October 2014 at 17:55

    Thank you for this video it has helped us alot

    Reply
  7. Zainul Rasheed says

    24 June 2014 at 13:35

    thnks buddy
    its very useful for a boy like me

    Reply
  8. kriti rajbar says

    2 May 2014 at 13:15

    Really helpful :):-)

    Reply
  9. Huong Cao says

    31 January 2014 at 02:53

    What happens if theres a whole number in front of a mixed number if your
    dividing? Such as 12 divided by 3 1/3

    Reply
  10. Brady McBride says

    29 January 2014 at 02:00

    thnx for the help u rock dude

    Reply
  11. Abbas Kalan says

    8 January 2014 at 20:48

    thank u simon this video came in handy i watched it the day before my exams

    Reply
  12. MrIncognitoPotato says

    6 January 2014 at 21:11

    Really helped me out. I forgot all about this, thanks for the demonstration
    man.

    Reply
  13. Simon Deacon says

    8 December 2013 at 10:41

    Please like and leave a comment!

    Visit https://www.3minutemaths.co.uk for real maths, tips and techniques.

    Reply
  14. Simon Deacon says

    8 December 2013 at 10:41

    Please like and leave a comment!

    Visit https://www.3minutemaths.co.uk for real maths, tips and techniques.

    Reply
  15. Tarik Deeb says

    6 December 2013 at 02:21

    Thanks Man U are the best

    Reply
  16. Marcus Goring says

    18 November 2013 at 11:29

    So helpful for homeschooling my 12 yr old son .Thankyou Simon you explain
    maths really well ,it’s now our favourite subject!

    Reply
  17. Simon Deacon says

    27 October 2013 at 23:59

    Please post, pin, tweet, like or subscribe!

    Reply
  18. Simon Deacon says

    27 October 2013 at 23:59

    Please post, pin, tweet, like or subscribe!

    Reply
  19. Simon Deacon says

    27 October 2013 at 23:59

    Please post, pin, tweet, like or subscribe!

    Reply
  20. Simon Deacon says

    27 October 2013 at 23:57

    Please post, pin, tweet, like or subscribe!

    Reply
  21. Simon Deacon says

    27 October 2013 at 23:57

    Please post, pin, tweet, like or subscribe!

    Reply
  22. Simon Deacon says

    27 October 2013 at 23:57

    Please post, pin, tweet, like or subscribe!

    Reply
  23. Simon Deacon says

    14 October 2013 at 13:04

    Thanks and glad it helped 🙂

    Reply
  24. Martyn Collins says

    13 October 2013 at 17:03

    great thanks, very helpful, keep up the good work!

    Reply
  25. Simon Deacon says

    11 June 2013 at 20:30

    Hi – glad it was helpful. There’s a few adding fractions videos – if you search on the channel you should find them. Hope that’s OK. All best S

    Reply
  26. Deon Patel says

    11 June 2013 at 19:48

    Thanks! Have you got a adding fractions video

    Reply
  27. aliya mahamood says

    19 May 2013 at 23:03

    Reply
  28. Jackie Jiang says

    3 May 2013 at 03:55

    Thanks for the video it really helped me on my homework

    Reply
  29. misslilyskye says

    24 March 2013 at 05:51

    I think if I got to learn math while listening to his accent, I would have done a lot better lol just listening to him makes it fun, not to mention he makes it seem so much simpler than other teachers I’ve had, that’s for sure 🙂

    Reply
  30. Simon Deacon says

    20 March 2013 at 23:15

    Glad to help 🙂

    Reply
  31. Mohammed Essah says

    20 March 2013 at 19:17

    this really helped me thanks a lot!

    Reply
  32. legomimi2 says

    8 March 2013 at 01:41

    Thx

    Reply
  33. Simon Deacon says

    6 March 2013 at 23:18

    Hi – that’s great! Really glad the video helped. Thanks for letting me know. S

    Reply
  34. lupelupita diaz says

    6 March 2013 at 22:56

    thats what i got confused with two whole numbers with fractions thx alot it really helped me i got a A+ in math class better then B+ =D

    Reply
  35. Mitchell Evans says

    25 February 2013 at 10:54

    anyone else learn more form youtube videos then their actual maths teachers

    Reply
  36. Simon Deacon says

    19 February 2013 at 23:00

    Glad it helped and thanks for letting me know 🙂

    Reply
  37. mila servin says

    19 February 2013 at 19:52

    Wow it really helped 🙂

    Reply
  38. mikescott20122050 says

    10 February 2013 at 20:33

    @Manue Nono

    Reply
  39. gkerbs11 says

    7 February 2013 at 23:01

    thank you!

    Reply
  40. Zaynies Pink says

    24 January 2013 at 03:28

    I need an A tomorrow! Hope soo

    Reply
  41. TritonJake says

    20 January 2013 at 10:40

    My math class was on this but I fell asleep so I have a test on this on Tuesday and now Ik how to do it

    Reply
  42. lordmoonaz69 says

    10 January 2013 at 17:56

    I wish you were my maths teacher

    Reply
  43. lordmoonaz69 says

    10 January 2013 at 17:49

    Legend! Just helped me with my homework 😀

    Reply
  44. Manue Nono says

    7 December 2012 at 01:20

    i hate math but i like this video

    Reply
  45. Mark Bellamy says

    6 December 2012 at 01:39

    I say to u the exact response she just said thankyou soo much

    Reply
  46. Juliana Ammann says

    4 December 2012 at 18:46

    Thanks a bunch I have maths test 2mrow and I had no idea what to do until now … thank you 🙂

    Reply
  47. ruben Cervantes says

    8 November 2012 at 04:12

    Ghetto teachers are the best

    Reply
  48. addictableminecraft says

    6 November 2012 at 19:53

    Thanks

    Reply
  49. Paul Gilliland says

    5 November 2012 at 17:12

    You are the guy – thank you thank you thank you

    Reply
  50. harmonie defilippis says

    18 October 2012 at 05:35

    LOL i like his ghetto white board

    Reply
  51. TheSweetiepie121 says

    4 October 2012 at 00:41

    Thank you so much mr. I finally know how to do my homework now!!! 🙂

    Reply
  52. pacohc713 says

    14 September 2012 at 06:56

    i learned more in this vid than 4 high school years….dam ghetto teachers

    Reply
  53. pacohc713 says

    14 September 2012 at 06:55

    easy im 5 :p

    Reply
  54. connor hooks says

    11 September 2012 at 03:40

    Easy I’m 11

    Reply
  55. wolfen24X7291999 says

    5 September 2012 at 02:11

    Thank u!!

    Reply
  56. ulawan5 says

    31 August 2012 at 11:44

    this was actually the most helpful demonstration of this I’ve seen XD

    Reply
  57. Antonio Darkstar says

    28 June 2012 at 03:11

    well idk about you peeps but i learned more in a 3 min video then i did in a whole 2 weeks of school lol.

    Reply
  58. barbara bush says

    21 May 2012 at 22:36

    shut up ur gonna need this when your older and wow im 11 and I know that

    Reply
  59. christian mcgowan says

    2 May 2012 at 17:43

    freak bhahahahaha

    Reply
  60. Jack williams says

    30 April 2012 at 18:13

    i never realised youtube could be such an educational place! (:

    Reply
  61. jessgonzalez95 says

    21 March 2012 at 22:20

    wow i cant belive i actually understand this thanks u really helped

    Reply
  62. Vajran Sarvendran says

    21 March 2012 at 03:16

    jjjjjjjj

    Reply
  63. Frank Flores says

    27 February 2012 at 03:39

    thanks it was a big help

    Reply
  64. Jasmine correa says

    12 February 2012 at 08:22

    ok, this is it, this math teacher has it in him to instruct people like me

    Reply
  65. GerardGrovesPictures says

    4 December 2011 at 18:42

    Using this to revise 🙂

    Reply
  66. Jessica Tran says

    13 November 2011 at 22:36

    Wow! Its actcually easy! Yay me 🙂 Thanks!!

    Reply
  67. LoneWolfXVll says

    20 October 2011 at 05:19

    well who knew fractions were this easy -.-

    Reply
  68. Jskills4ever says

    25 July 2011 at 04:10

    Thanks tis reall did help me to

    Reply
  69. kingofcraig says

    17 May 2011 at 20:49

    Great stuff 🙂

    Reply
  70. bexluvsbreyers says

    10 May 2011 at 22:24

    THANKYOUUUU!!!!!! maths exam tomorrow!! I was SCREWED until now 😛

    Reply
  71. KathleenSamantha McLaughlinRaven says

    13 February 2011 at 03:00

    thanks alot!

    Reply
  72. Simon Deacon says

    25 January 2011 at 21:16

    Hi – I’ve only really seen a grid used with muliplication of whole numbers. It’s a good method and can work well if you’re happy to use it. The important thing is to find a method that suits you and always use it. Thanks for your question and good luck with your maths!

    Reply
  73. BlazeDragon133 says

    24 January 2011 at 20:40

    what about the grid method? wouldnt that be easier?

    Reply
  74. BlazeDragon133 says

    24 January 2011 at 20:31

    cheers

    Reply
  75. MultiChannelONYoutub says

    17 October 2010 at 20:10

    Thanks, really helpful revision. 🙂

    Reply
  76. Badges55525 says

    12 October 2010 at 17:41

    kool

    Reply
  77. Badges55525 says

    12 October 2010 at 17:41

    aswome

    Reply
  78. Badges55525 says

    12 October 2010 at 17:38

    aswome

    Reply
  79. Tom89760 says

    1 October 2010 at 19:56

    very useful

    Reply
  80. eviltube1111 says

    27 September 2010 at 18:51

    thanks buddy

    Reply
  81. Joshua Scott says

    9 June 2010 at 07:32

    sweet

    Reply
  82. alexg555 says

    25 August 2009 at 06:13

    thank you man i got a A on my test

    Reply

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