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Math Help - multiply mix fraction into simplest form

  1. #1
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    Smile multiply mix fraction into simplest form

    4 1/6 x 4 4/5 x 2 3/4 =

    My answer is 120/6600 = 55

    Am I right?
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  2. #2
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    Quote Originally Posted by Patience View Post
    4 1/6 x 4 4/5 x 2 3/4 =

    My answer is 120/6600 = 55

    Am I right?
    Hello,

    transform those mixed numbers(?) into fractions:

    4 1/6 = 25/6

    4 4/5 = 24/5

    2 3/4 = 11/4

    Then multiply, cancel first equal factors:

    \frac{25}{6} \cdot\frac{24}{5} \cdot\frac{11}{4}=\frac{5}{1} \cdot\frac{4}{1} \cdot\frac{11}{4}=\frac{5}{1} \cdot\frac{1}{1} \cdot\frac{11}{1}=55

    EB

    PS.: Your result should have been: 6600/120
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  3. #3
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    Quote Originally Posted by Patience View Post
    4 1/6 x 4 4/5 x 2 3/4 =

    My answer is 120/6600 = 55

    Am I right?
    Without going into details, I say, no you are not right. Because how can 120/6600 be greater than 1?
    Or did you mean, 6600/120? That, sure, is 55.

    Now let us see the fractions.
    (4 1/6)*(4 4/5)*(2 3/4)
    The usual way is to change the improper fractions into proper fractions, then multiply all the numerators, same with all the denominators.
    So,
    = ((6*4 +1)/6)*((5*4 +4)/5)*((4*2 +3)/4)
    = (25/6)*(24/5)*(11/4)
    = (25*24*11)/(6*5*4)
    = 6600/120
    Hey, you are right!
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