Equivalent fractions (video) | Fractions | Khan Academy (2024)

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  • PASTEL COOKIE

    4 years agoPosted 4 years ago. Direct link to PASTEL COOKIE's post “how do you know if its eq...”

    how do you know if its equivalent?

    (24 votes)

    • 😀Samuel Hobaugh😀

      5 months agoPosted 5 months ago. Direct link to 😀Samuel Hobaugh😀's post “you have to mulitply 2 on...”

      you have to mulitply 2 on both the deomnater and the numerater

      (3 votes)

  • faith.back63

    a year agoPosted a year ago. Direct link to faith.back63's post “Do you like pizza?”

    Do you like pizza?

    (8 votes)

    • sarah.heer

      a month agoPosted a month ago. Direct link to sarah.heer's post “yes, I do”

      yes, I do

      (1 vote)

  • s300077821

    3 years agoPosted 3 years ago. Direct link to s300077821's post “Does fractions relate wit...”

    Does fractions relate with multiplication and division?

    (2 votes)

    • Philip

      3 years agoPosted 3 years ago. Direct link to Philip's post “Yes, they greatly do. Pro...”

      Yes, they greatly do. Proper and improper fractions by themselves are basically division problems. By only considering the numerator, the "original value" was not being divided.
      Mixed fractions, show the quotient as a whole number, with the amount left that could not be "equally shared" as a proper fraction rather than stating it as a remainder.

      (4 votes)

  • mariaobando

    a month agoPosted a month ago. Direct link to mariaobando's post “what does equivalent mean...”

    what does equivalent mean?like its equal?

    (3 votes)

  • 1089966

    2 months agoPosted 2 months ago. Direct link to 1089966's post “What does equivalent mean...”

    What does equivalent mean?

    (2 votes)

    • Alina Vulpe

      2 months agoPosted 2 months ago. Direct link to Alina Vulpe's post “Equivalent means equal I...”

      Equivalent means equal
      I hope this it's helpful.
      Happy learning!

      (2 votes)

  • nchambers

    3 years agoPosted 3 years ago. Direct link to nchambers's post “What is the same as 2/4?”

    What is the same as 2/4?

    (0 votes)

    • Caleb Galvin

      2 years agoPosted 2 years ago. Direct link to Caleb Galvin's post “So I've got a whole pizza...”

      So I've got a whole pizza here, and let's say that I were to cut it into two equal pieces. Let me cut it right over here into 2 equal pieces. And let's say that I ate one of those 2 equal pieces. So let's say I ate all of this right over here. What fraction of the pizza have I eaten? Well, I took the whole and I divide it into two equal pieces, and then I ate one of those pieces. So I ate 1/2 of the pizza. Now, let's imagine that instead of cutting that pizza into only 2 equal pieces, let's imagine instead that decide to cut it into 4 equal pieces. So let's draw that. So 4 equal pieces. So I could cut once this way and then I could cut it once this way. And so here I have 4 equal pieces. But let's say that I want to eat the same amount of pizza. How many of these 4 equal pieces would I have to eat. I encourage you to pause the video and think about that. Well, I would eat this piece. You could imagine me eating this piece and this piece right over here. I've eaten the same amount of the pizza. Each of these pieces you could imagine got cut into 2 pieces when I cut the whole pizza this way. And so now I have to eat 2 slices of the 4, as opposed to 1 slice of the 2. So I just ate 2 out of the 4 slices. I'm using different numbers here. Here I'm using a 1 in the numerator and 2 in the denominator. Here, I'm using a 2 in the numerator and a 4 in the denominator. These two fractions represent the same quantity. I ate the same amount of pizza. If I eat 2/4 of a pizza, if I eat 2 out of 4 equal pieces, that's the same fraction of the pizza as if I eat 1 out of 2 equal pieces. So we would say that these two things are equivalent fractions. Now let's do another one like this. Instead of just dividing it into 4 equal pieces, let's divide it into 8 equal pieces. So now we could cut once like this. So now we have 2 equal pieces. Cut once like this. Now we have 4 equal pieces. And then divide each of those 4 pieces into 2 pieces. So I'll cut those in-- So let's see. I want to make them equal pieces. Those don't look as equal as I would like. So that looks more equal, and that looks reasonably equal. So now how many equal pieces do I have? I have 8 equal pieces. But let's say I wanted to eat the same fraction of the pizza. So I could eat all of these pieces right over here. Well, how many of those 8 equal pieces have I eaten? Well, I've eaten 1, 2, 3, 4 of those 8 equal pieces. And so once again, this fraction, 4 of 8, or 4/8, is equivalent to 2/4, which is equivalent to 1/2. And you might see a little bit of a pattern here. Going from this scenario to this scenario, I got twice as many equal slices. Because I had twice as many equal slices, I needed to eat two times the number of slices. So I multiply the denominator by 2, and I multiply the numerator by 2. If I multiply the numerator and the denominator by the same number, then I'm not changing what that fraction represents. And you see that over here. Going from 4 slices to 8 slices, I cut every slice, I turned every slice into 2 more slices, so I had twice as many slices. And then if I want to eat the same amount, I have to eat twice as many pieces. So all of these, 1/2, 2/4, four 4/8, and I could keep going. I could do 8/16. I could do 16/32. All of these would be equivalent fractions.

      (4 votes)

  • Varsha Jay

    5 years agoPosted 5 years ago. Direct link to Varsha Jay's post “If 1/2 is the same as 2/4...”

    If 1/2 is the same as 2/4 then aren't you just adding?
    then 2/4 would be the same as 4/6 right?

    (3 votes)

    • ShawnS

      2 years agoPosted 2 years ago. Direct link to ShawnS's post “it is correct because you...”

      it is correct because you multiplied it by 3 and it could get multiplied by two or more it would still be equvilint.

      for example times 1/2 by 3 it would be equal to 3/6

      (0 votes)

  • Vulture2244

    3 years agoPosted 3 years ago. Direct link to Vulture2244's post “i'm just beginning fracti...”

    i'm just beginning fractions i don't understand please help!!

    (1 vote)

    • Jameson

      2 years agoPosted 2 years ago. Direct link to Jameson's post “You just did a fraction i...”

      You just did a fraction in your information you said you like to practice Kahn academy for forty minutes to a hour and a half one half is a fraction think of fractions like this you have one hole piece and 1/2 is half of that piece add another half and you have one hole same thing with 1/4 you have 1 out of four parts add three more parts and you have one hole or four fourths hope this helped

      (2 votes)

  • hwang32

    20 days agoPosted 20 days ago. Direct link to hwang32's post “I wonder if you could sol...”

    I wonder if you could solve a fraction with only using multipacation and addition?

    (1 vote)

    • Ryan

      6 days agoPosted 6 days ago. Direct link to Ryan's post “You _could_, in theory. M...”

      You could, in theory. Multiplication is repeated addition, and division is repeated subtraction. However, it's a matter of using the correct tool.

      You could hammer a screw into a board, but it will work better if you use a drill and screwdriver. ;)

      (2 votes)

  • Jannasaif111

    3 years agoPosted 3 years ago. Direct link to Jannasaif111's post “I am having a hard time w...”

    I am having a hard time with Equivalent fractions please help me!

    (0 votes)

    • steph

      3 years agoPosted 3 years ago. Direct link to steph's post “Sooo, lets say your fract...”

      Sooo, lets say your fraction is 3/6. The equivalent is 2x more than that. Multiply 2 to 3/6 and you'll get 6/12. That means 6/12 is a equivalent fraction to 3/6.

      You don't multiply 2 by the numerator, 3, and switch the multiplied by 3 for the denomatior, keep it the same number, like 2 for each place.

      (5 votes)

Video transcript

So I've got a wholepizza here, and let's say that I were to cut itinto two equal pieces. Let me cut it right overhere into 2 equal pieces. And let's say that I ateone of those 2 equal pieces. So let's say I ate allof this right over here. What fraction of thepizza have I eaten? Well, I took thewhole and I divide it into two equal pieces, andthen I ate one of those pieces. So I ate 1/2 of the pizza. Now, let's imagine that insteadof cutting that pizza into only 2 equal pieces,let's imagine instead that decide to cut itinto 4 equal pieces. So let's draw that. So 4 equal pieces. So I could cut oncethis way and then I could cut it once this way. And so here I have4 equal pieces. But let's say that I want toeat the same amount of pizza. How many of these 4 equalpieces would I have to eat. I encourage you to pause thevideo and think about that. Well, I would eat this piece. You could imagine me eatingthis piece and this piece right over here. I've eaten the sameamount of the pizza. Each of these pieces you couldimagine got cut into 2 pieces when I cut the wholepizza this way. And so now I have toeat 2 slices of the 4, as opposed to 1 slice of the 2. So I just ate 2 outof the 4 slices. I'm using differentnumbers here. Here I'm using a1 in the numerator and 2 in the denominator. Here, I'm using a2 in the numerator and a 4 in the denominator. These two fractionsrepresent the same quantity. I ate the same amount of pizza. If I eat 2/4 of a pizza, if Ieat 2 out of 4 equal pieces, that's the samefraction of the pizza as if I eat 1 outof 2 equal pieces. So we would say thatthese two things are equivalent fractions. Now let's do anotherone like this. Instead of just dividingit into 4 equal pieces, let's divide itinto 8 equal pieces. So now we couldcut once like this. So now we have 2 equal pieces. Cut once like this. Now we have 4 equal pieces. And then divide each ofthose 4 pieces into 2 pieces. So I'll cut thosein-- So let's see. I want to makethem equal pieces. Those don't look asequal as I would like. So that looks more equal, andthat looks reasonably equal. So now how many equalpieces do I have? I have 8 equal pieces. But let's say I wanted to eatthe same fraction of the pizza. So I could eat all of thesepieces right over here. Well, how many of those 8equal pieces have I eaten? Well, I've eaten 1, 2, 3,4 of those 8 equal pieces. And so once again, thisfraction, 4 of 8, or 4/8, is equivalent to 2/4,which is equivalent to 1/2. And you might see a littlebit of a pattern here. Going from this scenarioto this scenario, I got twice asmany equal slices. Because I had twiceas many equal slices, I needed to eat two timesthe number of slices. So I multiply thedenominator by 2, and I multiply thenumerator by 2. If I multiply the numeratorand the denominator by the same number,then I'm not changing what that fraction represents. And you see that over here. Going from 4 slices to 8slices, I cut every slice, I turned every sliceinto 2 more slices, so I had twice as many slices. And then if I want toeat the same amount, I have to eat twiceas many pieces. So all of these, 1/2, 2/4, four4/8, and I could keep going. I could do 8/16. I could do 16/32. All of these would beequivalent fractions.

Equivalent fractions (video) | Fractions | Khan Academy (2024)
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