Help with this maths question! You have to fill in the gaps in the circle of fractions. You have to make 8 fractions all equivalent to 1/4 and they've set the denominators: 8 16 12 80 12 54 24 40...

Help with this maths question! You have to fill in the gaps in the circle of fractions. You have to make 8 fractions all equivalent to 1/4 and they've set the denominators:

  • 8
  • 16
  • 12
  • 80
  • 12
  • 54
  • 24
  • 40

Can someone help me?

Asked on by hazie123

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ishpiro's profile pic

ishpiro | College Teacher | (Level 1) Educator

Posted on

To write an equivalent fraction with the given denominator, you have to figure out what number you can multiply the old denominator by in order to get the new denominator.

For example, to write the fraction equivalent to `1/4` with the denominator 8, you would need to multiply 4 by 2: 4*2 = 8. Then, you would also multiply the numerator by the same number:

`1/4 = (1*2)/(4*2) = 2/8`  

To make the denominator 16, you would need to multiply top and bottom by 4:

`1/4 = (1*4)/(4*4) = 4/16`

Proceed in this manner to find all the required fractions:

`1/4 = (1*3)/(4*3) = 3/12`

`1/4 = (1*20)/(4*20) = 20/80`

and so on.

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bababeta | Middle School Teacher | (Level 1) Adjunct Educator

Posted on

To make equivalent fractions, begin with the first fraction you are given and work out what you would need to do to change the denominator. 

Now multiply the numerator by the same number.

1/4= 2/8= 3/12= 20/80= 13.5/54= 6/24= 10/40

 Hope you find it easier now!

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Nolan McShea | Student, Grade 11 | (Level 2) Honors

Posted on

To make equivalent fractions, the fractions need to have the same value as each other and remain consistent in that equivalency.

You can simply make a list of fractions that are equivalent to 1/4. Here's how.

You can multiply the fraction's nominator and denominator by 2. So, you would do

`1/4*2/2=2/8`

To get other equivalent fractions with a larger denominator, you want to divide the larger denominator with the denominator of the original fraction, which is 1/4. 

So, if you wanted to find the equivalent fraction of 1/4 with a fraction with the denominator of 24, then you do `24-:4=6`

Now you have the number 6. Did you know, that this number, 6, is your numerator for the equivalent fraction? So, therefore, the equivalent fraction to 1/4 that has a denominator of 24 is `6/24` !

Now you can apply this to all of the other denominators to get their equivalent fractions!

Hope I helped!

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hazie123's profile pic

hazie123 | Student, Grade 7 | (Level 2) eNoter

Posted on

Thanks! Now all makes sense!

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glendadh | eNotes Newbie

Posted on

To make equivalent fractions, begin with the first fraction you are given and work out what you would need to do to change the denominator (bottom number). For example multiply by 2. Then you multiply the numerator (top number) by the same number. Repeat this until you have enough equivalents.

e.g. 1/4 = 2/8 = 4/16 = 8/32

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