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x\times 7.2=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 7.2=\frac{12}{9}
Multiply 12 and \frac{1}{9} to get \frac{12}{9}.
x\times 7.2=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.
x=\frac{\frac{4}{3}}{7.2}
Divide both sides by 7.2.
x=\frac{4}{3\times 7.2}
Express \frac{\frac{4}{3}}{7.2} as a single fraction.
x=\frac{4}{21.6}
Multiply 3 and 7.2 to get 21.6.
x=\frac{40}{216}
Expand \frac{4}{21.6} by multiplying both numerator and the denominator by 10.
x=\frac{5}{27}
Reduce the fraction \frac{40}{216} to lowest terms by extracting and canceling out 8.