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1.2=x\times \frac{5}{1.5}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
1.2=x\times \frac{50}{15}
Expand \frac{5}{1.5} by multiplying both numerator and the denominator by 10.
1.2=x\times \frac{10}{3}
Reduce the fraction \frac{50}{15} to lowest terms by extracting and canceling out 5.
x\times \frac{10}{3}=1.2
Swap sides so that all variable terms are on the left hand side.
x=1.2\times \frac{3}{10}
Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.
x=\frac{6}{5}\times \frac{3}{10}
Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.
x=\frac{6\times 3}{5\times 10}
Multiply \frac{6}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.
x=\frac{18}{50}
Do the multiplications in the fraction \frac{6\times 3}{5\times 10}.
x=\frac{9}{25}
Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.