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To convert the decimal 0.47777 into rational form, let ( x = 0.47777). Since the decimal repeats, we can express it as ( x = 0.47777...). Multiply both sides of the equation by 10, giving ( 10x = 4.7777...). Next, subtract the original equation from this new equation: ( 10x - x = 4.7777... - 0.47777...), resulting in ( 9x = 4.3). Thus, ( x = \frac{4.3}{9} = \frac{43}{90} ) after converting the decimal 4.3 into a fraction.

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1w ago

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