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Math Help - Ratios

  1. #1
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    Ratios

    What is the best way to calculate ratio of two numbers? Particularly numbers which don't divide easily into each other and without the use of a calculator. Ex:

    What is the ratio of 465.96 and 931.92?

    Thanks

    BIOS
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  2. #2
    MHF Contributor
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    \displaystyle\frac{465.96}{931.92}*\frac{100}{100}  =\frac{46596}{93192}

    Now simplify.

    It appears to be \displaystyle\approx\frac{1}{2}
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  3. #3
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    if nominator and denominator both as same decimal point you can multiple them by 100 or 1000 to get rid of the decimals and than divide.

    debjagan
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  4. #4
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    After getting rid of the decimal, if you want to reduce the resulting fraction, then find the prime factorizations of the numerator and denominator and cancel any common prime factors.
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  5. #5
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    Thanks for the replies. Is it a case that to get the ratio you then make a further division:

    Step 1)

    \displaystyle\frac{465.96}{931.92}*\frac{100}{100}  =\frac{46596}{93192}=0.5

    Step 2)

    \displaystyle\frac{1}{0.5}=2

    ans= 1:2

    Is that the full method? Is there any variation in that?
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  6. #6
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    Quote Originally Posted by BIOS View Post
    Thanks for the replies. Is it a case that to get the ratio you then make a further division:

    Step 1)

    \displaystyle\frac{465.96}{931.92}*\frac{100}{100}  =\frac{46596}{93192}=0.5

    Step 2)

    \displaystyle\frac{1}{0.5}=2

    ans= 1:2

    Is that the full method? Is there any variation in that?
    \displaystyle\frac{46596}{93192}=\frac{40000+6500+  90+6}{80000+13000+180+12}

    All values in the numerator are half those in the denominator.

    Ratio is 1:2
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