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3x+\frac{18}{20}=2.7
Expand \frac{1.8}{2} by multiplying both numerator and the denominator by 10.
3x+\frac{9}{10}=2.7
Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.
3x=2.7-\frac{9}{10}
Subtract \frac{9}{10} from both sides.
3x=\frac{27}{10}-\frac{9}{10}
Convert decimal number 2.7 to fraction \frac{27}{10}.
3x=\frac{27-9}{10}
Since \frac{27}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{18}{10}
Subtract 9 from 27 to get 18.
3x=\frac{9}{5}
Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.
x=\frac{\frac{9}{5}}{3}
Divide both sides by 3.
x=\frac{9}{5\times 3}
Express \frac{\frac{9}{5}}{3} as a single fraction.
x=\frac{9}{15}
Multiply 5 and 3 to get 15.
x=\frac{3}{5}
Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.