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223x=117\times 2.33
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 117x, the least common multiple of 117,x.
223x=272.61
Multiply 117 and 2.33 to get 272.61.
x=\frac{272.61}{223}
Divide both sides by 223.
x=\frac{27261}{22300}
Expand \frac{272.61}{223} by multiplying both numerator and the denominator by 100.