.8888888889 as fraction
1/9 = .111111111...
this looks like 8/9
To represent the decimal number 0.8888888889 as a fraction, we can write it in the following way:
0.8888888889 = 0.8 + 0.08 + 0.008 + ...
To find the equivalent fraction, we can set up an equation. Let x = 0.8888888889, and multiply both sides by 10 to shift the decimal point:
10x = 8.888888889 + 0.888888889 + 0.088888889 + ...
Subtract the original equation from the new one:
10x - x = 8.888888889
Simplifying the equation:
9x = 8.888888889
Now, we can solve for x:
x = 8.888888889 / 9
Simplifying the fraction, we see that the equivalent fraction is:
x = 98 / 99
So, the fraction equivalent to 0.8888888889 is 98/99.