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x=\frac{2}{3}\times 0.1
Multiply both sides by 0.1.
x=\frac{2}{3}\times \frac{1}{10}
Convert decimal number 0.1 to fraction \frac{1}{10}.
x=\frac{2\times 1}{3\times 10}
Multiply \frac{2}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.
x=\frac{2}{30}
Do the multiplications in the fraction \frac{2\times 1}{3\times 10}.
x=\frac{1}{15}
Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.