How do you answer a question about recurring decimals? (such as ... Prove that 0.24 recurring = 8/33)
Write the recurring decimal equal to n, then multiply it by either 10 (1 digit recurs) 100 (2 digits recur), 1000 (3), etc. Then subtract n to remove recurring bit, then divide both sides by 9, 99, 999 etc to make fraction, then simplify for answer
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