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\frac{1}{10}=\frac{139}{\frac{x}{60}}
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
\frac{1}{10}=\frac{139\times 60}{x}
Divide 139 by \frac{x}{60} by multiplying 139 by the reciprocal of \frac{x}{60}.
\frac{1}{10}=\frac{8340}{x}
Multiply 139 and 60 to get 8340.
\frac{8340}{x}=\frac{1}{10}
Swap sides so that all variable terms are on the left hand side.
10\times 8340=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.
83400=x
Multiply 10 and 8340 to get 83400.
x=83400
Swap sides so that all variable terms are on the left hand side.