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x\times \frac{15}{5.5}=6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times \frac{150}{55}=6
Expand \frac{15}{5.5} by multiplying both numerator and the denominator by 10.
x\times \frac{30}{11}=6
Reduce the fraction \frac{150}{55} to lowest terms by extracting and canceling out 5.
x=6\times \frac{11}{30}
Multiply both sides by \frac{11}{30}, the reciprocal of \frac{30}{11}.
x=\frac{6\times 11}{30}
Express 6\times \frac{11}{30} as a single fraction.
x=\frac{66}{30}
Multiply 6 and 11 to get 66.
x=\frac{11}{5}
Reduce the fraction \frac{66}{30} to lowest terms by extracting and canceling out 6.