Write 0.09 as a fraction. a) 1/11 b) 1/7 c) 1/99 d) 1/9

0.090909... = 1/11

Step-by-step explanation:

There is a bar over the 09.

Let x = 0.090909...

Then 100x = 9.090909...

Now subtract the first equation from the second equation.

      100x = 9.090909...

-            x = 0.090909...

        99x = 9

Divide both sides by 9.

11x = 1

x = 1/11

0.090909... = 1/11

answer:

step-by-step explanation:

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."