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x\times 72=12\times \frac{1}{9}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 12,x.
x\times 72=\frac{12}{9}
Multiply 12 and \frac{1}{9} to get \frac{12}{9}.
x\times 72=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.
x=\frac{\frac{4}{3}}{72}
Divide both sides by 72.
x=\frac{4}{3\times 72}
Express \frac{\frac{4}{3}}{72} as a single fraction.
x=\frac{4}{216}
Multiply 3 and 72 to get 216.
x=\frac{1}{54}
Reduce the fraction \frac{4}{216} to lowest terms by extracting and canceling out 4.