What is the fraction for 0.53 with 3 repeating?

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1215828

2026-07-31 08:30

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To express the decimal 0.53 with a repeating 3, we can use the formula for repeating decimals. Since the digit 3 repeats indefinitely, we can represent it as 0.5333... To convert this to a fraction, we set x = 0.5333... and subtract 0.5x from x to eliminate the repeating part. This gives us 10x - x = 5.3 - 0.53, which simplifies to 9x = 4.77. Therefore, the fraction for 0.53 with 3 repeating is 477/900.

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