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18x\times \frac{10}{6}=5.65
Divide 45x by 2.5 to get 18x.
18x\times \frac{5}{3}=5.65
Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.
\frac{18\times 5}{3}x=5.65
Express 18\times \frac{5}{3} as a single fraction.
\frac{90}{3}x=5.65
Multiply 18 and 5 to get 90.
30x=5.65
Divide 90 by 3 to get 30.
x=\frac{5.65}{30}
Divide both sides by 30.
x=\frac{565}{3000}
Expand \frac{5.65}{30} by multiplying both numerator and the denominator by 100.
x=\frac{113}{600}
Reduce the fraction \frac{565}{3000} to lowest terms by extracting and canceling out 5.