Change the decimal to a fraction: 0.2626262626...

2 answers

Let x = 0.2626262626...

We can multiply both sides of the equation by 100 to eliminate the decimal:

100x = 26.2626262626...

Next, we subtract the original equation from the second equation:

100x - x = 26.2626262626... - 0.2626262626...

Simplifying, we get:

99x = 26

Dividing both sides by 99:

x = 26/99

Therefore, the decimal 0.2626262626... is equivalent to the fraction 26/99.
is 8/9 rational
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