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x\times \frac{100}{1.5}=111
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{1000}{15}=111
Expand \frac{100}{1.5} by multiplying both numerator and the denominator by 10.
x\times \frac{200}{3}=111
Reduce the fraction \frac{1000}{15} to lowest terms by extracting and canceling out 5.
x=111\times \frac{3}{200}
Multiply both sides by \frac{3}{200}, the reciprocal of \frac{200}{3}.
x=\frac{111\times 3}{200}
Express 111\times \frac{3}{200} as a single fraction.
x=\frac{333}{200}
Multiply 111 and 3 to get 333.