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    Subtracting Fractions: There Are 3 Simple Steps To Subtract Fractions

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    Nilo Valera
    There are three steps to subtract fractions: 1. Make the denominators the same by multiplying the top and bottom of one or both fractions. 2. Subtract the numerators and put the difference over the common denominator. 3. Simplify the resulting fraction if possible.

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    Subtracting Fractions: There Are 3 Simple Steps To Subtract Fractions

    Uploaded by

    Nilo Valera
    19 views4 pages
    There are three steps to subtract fractions: 1. Make the denominators the same by multiplying the top and bottom of one or both fractions. 2. Subtract the numerators and put the difference over the common denominator. 3. Simplify the resulting fraction if possible.

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    Subtracting Fractions

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    There are three steps to subtract fractions: 1. Make the denominators the same by multiplying the top and bottom of one or both fractions. 2. Subtract the numerators and put the difference over the common denominator. 3. Simplify the resulting fraction if possible.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    19 views4 pages

    Subtracting Fractions: There Are 3 Simple Steps To Subtract Fractions

    Uploaded by

    Nilo Valera
    There are three steps to subtract fractions: 1. Make the denominators the same by multiplying the top and bottom of one or both fractions. 2. Subtract the numerators and put the difference over the common denominator. 3. Simplify the resulting fraction if possible.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 4

    Subtracting Fractions

    You might like to read Adding Fractions first.

    There are 3 simple steps to subtract fractions

     Step 1. Make sure the bottom numbers (the denominators) are the same
     Step 2. Subtract the top numbers (the numerators). Put the answer over
    the same denominator.
     Step 3. Simplify the fraction (if needed).

    Example 1:

    34 − 14

    Step 1. The bottom numbers are already the same. Go straight to step 2.

    Step 2. Subtract the top numbers and put the answer over the same
    denominator:

    34 − 14  =  3 − 14  =  24

    Step 3. Simplify the fraction:

    24 = 12

    (If you are unsure of the last step see Equivalent Fractions.)

    Example 2:

    12 − 16

    Step 1. The bottom numbers are different. See how the slices are different
    sizes? We need to make them the same before we can continue, because
    we can't subtract them like this:

    12 − 16 = ?
       

    To make the bottom numbers the same, multiply the top and bottom of the first
    fraction (1/2) by 3 like this:

    ×3

    1
      = 36
    2

    ×3

    And now our question looks like this:

    36 − 16

    The bottom numbers (the denominators) are the same, so we can go to step 2.

    Step 2. Subtract the top numbers and put the answer over the same
    denominator:

    36 − 16  =  3 − 16  =  26

    In picture form it looks like this:

    36 − 16 = 26
       

    Step 3. Simplify the fraction:

    26 = 13

    With Pen and Paper

    And here is how to do it with a pen and paper (press the play button):

      Play with it!


    Try Subtracting Fractions Illustrated.

    Subtracting Mixed Fractions


    I have a special page on Adding and Subtracting Mixed Fractions.

    Making the Denominators the Same


    In the previous example it was easy to make the denominators the same, but it
    can be harder ... so you may need to use either the

     Common Denominator Method, or the


     Least Common Denominator Method

    They both work, use which one you prefer!


    Example: Cupcakes

    You want to sell cupcakes at a market:

     You get paid 25 of total sales


     But you have to pay 14 of total sales for the stall

    How much do you get?

    We need to subtract 14 from 25

    25 − 14  =  ??

    First make the bottom numbers (the denominators) the same.

    Multiply top and bottom of 2/5 by 4:

    2 × 45 × 4 − 14  =  ??

    And multiply top and bottom of 1/4 by 5:

    2 × 45 × 4 − 1 × 54 × 5  =  ??

    Now do the calculations:

    820 − 520  =  8 − 520  =  320

    Answer: you get to keep 320 of total sales.

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