Solve 54/11.2=6/x

$$\frac { 54 } { 11.2 } = \frac { 6 } { x }$$

Solve for x

$$x = \frac{56}{45} = 1\frac{11}{45} \approx 1.244444444$$

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.

$$x\times \frac{54}{11.2}=6$$

Expand \frac{54}{11.2} by multiplying both numerator and the denominator by 10.

$$x\times \frac{540}{112}=6$$

Reduce the fraction \frac{540}{112} to lowest terms by extracting and canceling out 4.

$$x\times \frac{135}{28}=6$$

Multiply both sides by \frac{28}{135}, the reciprocal of \frac{135}{28}.

$$x=6\times \frac{28}{135}$$

Express 6\times \frac{28}{135} as a single fraction.

$$x=\frac{6\times 28}{135}$$

Multiply 6 and 28 to get 168.

$$x=\frac{168}{135}$$

Reduce the fraction \frac{168}{135} to lowest terms by extracting and canceling out 3.

$$x=\frac{56}{45}$$