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Convert to fraction form 0.2666666…..

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Answer to a math question Convert to fraction form 0.2666666…..

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x = 0.2666666\ldots

10x = 2.666666\ldots

10x - x = 2.666666\ldots - 0.2666666\ldots

9x = 2.4

x = \frac{2.4}{9}

x = \frac{\frac{24}{10}}{9} = \frac{24}{90}

x = \frac{24 \div 6}{90 \div 6} = \frac{4}{15}

\frac{4}{15}

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y’’ -4y’ +4y = (12x^2 -6x)e^2x Y(0)= 1 Y’(0)=0 Y(x)=c1y1+c2y2+yp