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22x=9\times 1.24
Multiply both sides of the equation by 396, the least common multiple of 18,44.
22x=11.16
Multiply 9 and 1.24 to get 11.16.
x=\frac{11.16}{22}
Divide both sides by 22.
x=\frac{1116}{2200}
Expand \frac{11.16}{22} by multiplying both numerator and the denominator by 100.
x=\frac{279}{550}
Reduce the fraction \frac{1116}{2200} to lowest terms by extracting and canceling out 4.