Solve 5/x=38000/5299.98

$$\frac { 5 } { x } = \frac { 38000 } { 5299.98 }$$

Solve for x

$$x=\frac{264999}{380000}\approx 0.697365789$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$5=x\times \frac{38000}{5299.98}$$

Expand \frac{38000}{5299.98} by multiplying both numerator and the denominator by 100.

$$5=x\times \frac{3800000}{529998}$$

Reduce the fraction \frac{3800000}{529998} to lowest terms by extracting and canceling out 2.

$$5=x\times \frac{1900000}{264999}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{1900000}{264999}=5$$

Multiply both sides by \frac{264999}{1900000}, the reciprocal of \frac{1900000}{264999}.

$$x=5\times \frac{264999}{1900000}$$

Express 5\times \frac{264999}{1900000} as a single fraction.

$$x=\frac{5\times 264999}{1900000}$$

Multiply 5 and 264999 to get 1324995.

$$x=\frac{1324995}{1900000}$$

Reduce the fraction \frac{1324995}{1900000} to lowest terms by extracting and canceling out 5.

$$x=\frac{264999}{380000}$$