Solve 6/x=1250/0.750

$$\frac{ 6 }{ x } = \frac{ 1250 }{ 0.750 }$$

Solve for x

$$x=0.0036$$

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.

$$6=x\times \frac{1250}{0.75}$$

Expand \frac{1250}{0.75} by multiplying both numerator and the denominator by 100.

$$6=x\times \frac{125000}{75}$$

Reduce the fraction \frac{125000}{75} to lowest terms by extracting and canceling out 25.

$$6=x\times \frac{5000}{3}$$

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

$$x\times \frac{5000}{3}=6$$

Multiply both sides by \frac{3}{5000}, the reciprocal of \frac{5000}{3}.

$$x=6\times \frac{3}{5000}$$

Express 6\times \frac{3}{5000} as a single fraction.

$$x=\frac{6\times 3}{5000}$$

Multiply 6 and 3 to get 18.

$$x=\frac{18}{5000}$$

Reduce the fraction \frac{18}{5000} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{2500}$$