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46.08=x\times 10
Multiply 5.12 and 9 to get 46.08.
x\times 10=46.08
Swap sides so that all variable terms are on the left hand side.
x=\frac{46.08}{10}
Divide both sides by 10.
x=\frac{4608}{1000}
Expand \frac{46.08}{10} by multiplying both numerator and the denominator by 100.
x=\frac{576}{125}
Reduce the fraction \frac{4608}{1000} to lowest terms by extracting and canceling out 8.