Convert 0.5555... to a fraction (1 point)

1 answer

To convert 0.5555... to a fraction, we can let x = 0.5555... and multiply both sides of this equation by 10 to eliminate the decimal point: 10x = 5.5555...

Next, we can subtract the original equation from the equation above to eliminate the repeating decimal: 10x - x = 5.5555... - 0.5555...
This simplifies to: 9x = 5

Finally, we can solve for x by dividing both sides of the equation by 9: x = 5/9

Therefore, 0.5555... is equal to the fraction 5/9.
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