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How to get rid of fraction in denominator?

I dont understand how to get rid of a fraction that is the denominator of another fraction. For example: 16/5/2. We did this problem in class, and the teacher came up with the answer 32/5. I dont understand how. Can someone please show and explain this to me? Thank You!

You can see 16/5/2 as 16 divided by 5/2.
How to solve it when an integer is divided by a fraction?
You multiply the integer with the fraction’s reciprocal.
so, 16 divided by 5/2 is equal to 16 multiplied by 2/5

16 / (5/2) = 16 * 2 / 5 = (16*2) / 5 = 32/5

Other way to see it is simply as
16 / (5/2) = 16 / 2.5 = 16/2.5 * 2/2 = 32/5

This entry was posted on Saturday, September 26th, 2009 at 6:09 pm and is filed under fraction. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

11 Responses to “How to get rid of fraction in denominator?”

  1. Kirk Says:
    September 26th, 2009 at 11:57 pm

    multiply both numerator and denominator by 2
    References :

  2. Kikseo Says:
    September 27th, 2009 at 12:14 am

    Um, I believe your teacher did this equasion wrong. 16/5/2 = 1.6, which is 8/5ths.

    Confront your teacher and ask him.
    References :

  3. Jonathan Says:
    September 27th, 2009 at 12:50 am

    when you divide by a fraction, yuo can multiply by the inverse of the denominator.

    eg 16 / (5/2) = 16 * (2/5) = 32/5

    eg y / (a/b) = y * (b/a)
    References :

  4. Vicky Says:
    September 27th, 2009 at 1:36 am

    16/5/2 means 16 is divided by 5/2 i.e. 16*2/5=32/5 ok???
    References :

  5. Xeliex Says:
    September 27th, 2009 at 1:47 am

    16/5/2 = 16/5 รท 1/2 = 16/5 * 2/1 (opposite of 1/2) = 32/5.
    References :

  6. cuttiepie Says:
    September 27th, 2009 at 2:03 am

    16 / (5/2) = 16 * (2/5) = 32/5
    References :

  7. Snowy Says:
    September 27th, 2009 at 2:17 am

    So you are dividing 16 by 5/2…

    1. 16 is the same as 16/1, therefore change your equation around and write: (16/1)/(5/2).

    2. (16/1)/(5/2) is the same as (16/1)*(2/5) [I swapped the 5 and 2 around].

    3. So (16/1)*(2/5) equals to (16*2)/(1*5) = 32/5
    References :
    Mathematical Methods Student

  8. DOVE Says:
    September 27th, 2009 at 2:57 am

    16/ 5/2 = 16/1/5/2=16/1 divided by 5/2
    = 16/1 x 2/5
    = 32/5
    References :

  9. Asst Prof Says:
    September 27th, 2009 at 3:02 am

    Multiply the numerator of the main fraction by the denominator of the fraction in the main denominator.

    In the case of 16 divided by 5/2, multiply the 16 by 2 = 32/5 = 6.4

    If you had 4 divided by 3/8, you would multiply the 4 by 8, giving 32/3 = 10.67
    References :

  10. Dogol Universal Says:
    September 27th, 2009 at 3:50 am

    You can see 16/5/2 as 16 divided by 5/2.
    How to solve it when an integer is divided by a fraction?
    You multiply the integer with the fraction’s reciprocal.
    so, 16 divided by 5/2 is equal to 16 multiplied by 2/5

    16 / (5/2) = 16 * 2 / 5 = (16*2) / 5 = 32/5

    Other way to see it is simply as
    16 / (5/2) = 16 / 2.5 = 16/2.5 * 2/2 = 32/5
    References :

  11. como Says:
    September 27th, 2009 at 4:06 am

    16
    ——–
    5
    —
    2

    2 x 16
    ———–
    5

    32
    —-
    5
    References :

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