math!!!!!!!!!!!!!!!

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( egyptian fractions are fractions where the numerator can only be one) find two egyptian fractions where when added together it equalls 11/32

  • math!!!!!!!!!!!!!!! -

    let them be 1/a and 1/b

    we are given
    1/a + 1/b = 11/32
    adding the left side with a common denominator ...
    (a+b)/(ab) = 11/32 or 22/64 or 33/96 or ....
    so .... a+b = 11 and ab = 32
    no integer solutions
    a+b = 22 and ab = 64
    no integer solutions
    a+b = 33, ab = 96
    no integer solution
    ...
    a+b = 99 , ab = 288
    a= 3, b = 96

    1/3 + 1/96 = 99/288 = 11/32

  • math!!!!!!!!!!!!!!! -

    thankyou

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