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Math Help - find 7 1/4 of 600.

  1. #1
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    find 7 1/4 of 600.

    1.) find 7 1/4% of 600.

    2.) 9 1/2% of what number is 5.7?


    change percent to a fraction

    1.) 2/3%
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  2. #2
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    Percent just means "out of 100", so 50% is \frac{50}{100}, 38% is \frac{38}{100}, etc.

    So 7\frac{1}{4}\%\text{ of }600=\frac{7\frac{1}{4}}{100}\text{ times }600.

    On the second problem, you multiply something by 9\frac{1}{2}\% to get 5.7. Since division is the opposite of multiplication, the "something" you want is the product, 5.7, divided by 9\frac{1}{2}\% or 5.7 divided by \frac{9\frac{1}{2}}{100}.

    To multiply and divide the fractions, first change the whole number + fraction to just a fraction - like 9\frac{1}{2}=\frac{19}{2}. Then you can multiply and divide by only whole numbers. Remember that dividing by a fraction is the same as inverting the fraction and multiplying.

    The third one is just the "out of 100" rule - \frac{2}{3}\% is just \frac{\frac{2}{3}}{100}. Now you just need to change it to a normal fraction - whole number divided by whole number.

    Post again in this thread if you're still having trouble. By the way, where are you studying math?
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  3. #3
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    my question really was this: what am i supposed to do the percentages that have fractions, do i turn them into decimals or what?

    any help?
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  4. #4
    Super Member Quacky's Avatar
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     <br />
9\frac{1}{2}\%=9.5\%<br />

     <br />
3\frac{3}{5}\%=3.6\%<br />

    This is often a lot easier to work with.
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  5. #5
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    Yes, that's right, Quacky.

    Also 7\frac{1}{4}\%=7.25\%.

    Of course, that won't work for the problem that asks you for a fraction. You'll have to recognize that dividing by one thing and then another is the same as dividing by the product of those two things. For example,

    \frac{\frac{4}{7}}{100}=\frac{4}{700}.

    - Hollywood
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