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\frac{10}{x}=\frac{299}{100}
Divide both sides by 100.
100\times 10=299x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
1000=299x
Multiply 100 and 10 to get 1000.
299x=1000
Swap sides so that all variable terms are on the left hand side.
x=\frac{1000}{299}
Divide both sides by 299.