SOLUTION: I can’t figure this problem out. X=0.89 repeating decimal. 100x=89.89. 100x-x=89.89-? Sue began converting the repeating decimal 0.89 above to a fract

Question 1144329: I can’t figure this problem out. X=0.89 repeating decimal. 100x=89.89. 100x-x=89.89-?
Sue began converting the repeating decimal 0.89 above to a fraction so that she could use it during her calculations. Sue knew she had to set up equations, but as she began to solve it she was not sure of how to complete the problem. Help Sue solve the problem below by finding the fractional equivalent to the decimal 0.89 with a line over the 89.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

X = 0.8989... is a repeating decimal. 100X = 89.8989... 100X = 89 + 0.8989... 100X = 89 +X 100X - X = 89 99X = 89 X = is the ratio you want to get.

            Happy learning (!)

            Come again soon to learn more (!)

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
I can’t figure this problem out. X=0.89 repeating decimal. 100x=89.89. 100x-x=89.89-?
Sue began converting the repeating decimal 0.89 above to a fraction so that she could use it during her calculations. Sue knew she had to set up equations, but as she began to solve it she was not sure of how to complete the problem. Help Sue solve the problem below by finding the fractional equivalent to the decimal 0.89 with a line over the 89.

She had the following:
x = 0.89 ------ eq (i)
100x = 89.89 ----- eq (ii)
100x - x = 89.89 - 0.89 -------- Subtracting eq (i) from eq (ii)
99x = 89
x, or fractional equivalent to 0.89 (overline):
RELATED QUESTIONS
X^4 + 2^x =... (answered by ikleyn)
0[-46-(7-89)] (answered by dlh)
Whats... (answered by Alan3354)
hello again i have a problem i need help with. the sum of two numbers is 89 adding four... (answered by Fombitz)
How to I write this in standard form? I came up with 3.89 repeating ^-7 however... (answered by CubeyThePenguin)
find -x when x = -... (answered by MathLover1,rfer)
Add or subtract.... (answered by jim_thompson5910)
what is... (answered by TimothyLamb,Alan3354,richwmiller)
Determinant of the matrix | 18 40 89 | | 40 89 198 | | 89... (answered by MathLover1)