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Math Help - Ratio to simplest forms

  1. #1
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    Ratio to simplest forms

    Question #1

    The ratio of 7 dimes to 3 quarters.





    Question #2

    The ratio of 5 3/5 to 2 1/10




    Can someone please show me how you come up with the answer to both equation.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Patience View Post
    Question #1

    The ratio of 7 dimes to 3 quarters.
    7 dimes = 70 cents
    3 quarters = 75 cents

    both 70 and 75 are divisible by 5, so:

    70:75 = 14:15

    14 and 15 have no common divisor so this last is in simplist form.


    Question #2

    The ratio of 5 3/5 to 2 1/10
    turn into improper fractions with the same denominator, which in this
    case turn both into 1/10's

    5 3/5 = (50+6)/10 = 56/10

    2 1/10 = (20+1)/10 = 21/10.

    so:

    (5 3/5) : (2 1/10)=(56/10) : (21/10)

    this is:

    56:21.

    Now both 56 and 21 are divisible by 7 so divide both by 7:

    56:21 = 8:3

    and as 8 and 3 have no comon factor larger that 1 this is the lowest form
    of this ratio.

    RonL
    Last edited by CaptainBlack; January 6th 2007 at 05:01 AM.
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  3. #3
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    Question #2

    How do u come up with 50 + 6? with the fraction of 5 3/5

    I am confused. Shouldn't it be 5x5+3= 28/5

    I understand the 2 1/10= 2x10=1= 21/10
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  4. #4
    Junior Member Ruichan's Avatar
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    Quote Originally Posted by Patience View Post
    Question #2

    How do u come up with 50 + 6? with the fraction of 5 3/5

    I am confused. Shouldn't it be 5x5+3= 28/5

    I understand the 2 1/10= 2x10=1= 21/10
    Captain changed the denominator to 10.
    Hence the fraction became 5 6/10, hence (50+6)/10 = 56/10
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