6th grade

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A fraction greater than 1/8 and less than 1/4 is in simplest form and denominator is 4 more than its numerator...what is the fraction?

  • 6th grade -

    first, write inequality equations using the given statements/description:
    let x = numerator
    let x+4 = denominator
    1/8 < x/(x+4) *fraction is greater than 1/8
    x + 4 < 8x
    7x > 4
    x > 4/7

    x/(x+4) < 1/4 *fraction is less than 1/4
    4x < x + 4
    3x < 4
    x < 4/3

    now, x is between 4/7 and 4/3 ,, we then find value of x which is a whole number (since numerator and denominator of a fraction are integers or whole numbers),, values between these two are:
    4/6 , 4/5, 4/4
    therefore the only whole number here in simplest form is 4/4 = 1 = x
    the fraction is thus 1/5

    so there,, :)

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