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x\times \frac{0.03}{0.1}=6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times \frac{3}{10}=6
Expand \frac{0.03}{0.1} by multiplying both numerator and the denominator by 100.
x=6\times \frac{10}{3}
Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.
x=\frac{6\times 10}{3}
Express 6\times \frac{10}{3} as a single fraction.
x=\frac{60}{3}
Multiply 6 and 10 to get 60.
x=20
Divide 60 by 3 to get 20.