If a proper fraction in lowest terms is subtracted from its reciprocal, the difference is 77/18. what is the proper fraction.

x - 1/x = 77/18

multiply by the common denominator 18x

18x(x - 1/x )= 77/18 *18x

distribute

18x^2 -18 = 77x

subtract 77 x from each side

18x^2 -77x-18=0

factor

(2 x - 9) (9 x + 2) = 0

using the zero property

2x-9 =0  9x+2 =0

2x=9  9x=-2

x = 9/2   x = -2/9

x cannot = 9/2 because this is not a proper fraction in the lowest terms

so x = -2/9

answer: it's upside down and i can't read it

step-by-step explanation:

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1