change the decimal to a fraction: 0.2626262626...

1 answer

Let x = 0.2626262626...

Multiply both sides of the equation by 100, as there are two digits after the decimal point:

100x = 26.26262626...

Subtract x from 100x:

100x - x = 26.26262626... - 0.2626262626...

99x = 26

Divide both sides by 99:

99x/99 = 26/99

x = 26/99

Therefore, 0.2626262626... is equal to 26/99.
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