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3\times \frac{x}{2.7}=1\times 3+1
Multiply both sides of the equation by 3.
3\times \frac{x}{2.7}=3+1
Multiply 1 and 3 to get 3.
3\times \frac{x}{2.7}=4
Add 3 and 1 to get 4.
\frac{x}{2.7}=\frac{4}{3}
Divide both sides by 3.
x=\frac{4}{3}\times 2.7
Multiply both sides by 2.7.
x=\frac{4}{3}\times \frac{27}{10}
Convert decimal number 2.7 to fraction \frac{27}{10}.
x=\frac{4\times 27}{3\times 10}
Multiply \frac{4}{3} times \frac{27}{10} by multiplying numerator times numerator and denominator times denominator.
x=\frac{108}{30}
Do the multiplications in the fraction \frac{4\times 27}{3\times 10}.
x=\frac{18}{5}
Reduce the fraction \frac{108}{30} to lowest terms by extracting and canceling out 6.