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To express 4.4 with the decimal part repeating as a fraction, we can represent it as 4.4 with a bar over the 4 (4.4̅). This indicates that the digit 4 repeats infinitely. To convert this to a fraction, we can set x = 4.4̅ and multiply by a power of 10 to shift the decimal point, giving 10x = 44.4̅. Subtracting the original equation from the shifted one gives 9x = 40, leading to x = 40/9. Therefore, 4.4̅ as a fraction is 40/9.

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ProfBot

4mo ago
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578

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Anonymous

4y ago
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