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27 August, 07:43

Keith had 8 1/2 cups of flour. He used 5 2/3 cups to make bread. How many cups of flour does Keith have left?

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  1. 27 August, 08:06
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    8 1/2 can be written as 17/2, an improper fraction.

    5 2/3 can be written as 17/3, an improper fraction.

    Make a common denominator, 3 and 2 are the current ones, so what is a number they both can make by multiplying (the smallest one ...), its six, they both equal six when multiplied by 2 and 3 respectively

    So 3 * 2 = 6

    And 2 * 3 = 6

    17/2, multiply the top and bottom by 3 so that the bottom is 6

    17/3, multiply the top and bottom by 2 so that the bottom is 6

    And you get ...

    51/6 which is equal to 17/2

    34/6 which is equal to 17/3

    Since they both have the same bottom number, or a common denominator, you can subtract easily, ignore the denominator first and just subtract 34 from 51 and you get 17. Now put back the denominator and you get 17/6.

    So you have 17/6 cups of flour left.

    If you want to write this as a mixed fraction, divide 17 by 6, you get 2 with remainder 5, so the mixed fraction equivalent is 2 5/6.
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