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Like this. You call your number "x", and write:x = 0.435435... (equation 1)

1000x = 435.435435... (equation 2)

Then, you subtract equation 1 from equation 2, and solve for "x". This will give you "x" as a fraction.

Note: The factor 1000 was chosen because the period (number of repeating digits) is 3, and 1000 has 3 zeros.

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8y ago
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8y ago

1000x = 435.435435

x = 0.435435

Subtract them.

999x = 435

x = 435/999 or 145/333

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Q: How do you convert 0.435 repeating to a fraction?
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