Solve 106/x=44/1.82

$$\frac { 106 } { x } = \frac { 44 } { 1.82 }$$

Solve for x

$$x = \frac{4823}{1100} = 4\frac{423}{1100} \approx 4.384545455$$

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.

$$106=x\times \frac{44}{1.82}$$

Expand \frac{44}{1.82} by multiplying both numerator and the denominator by 100.

$$106=x\times \frac{4400}{182}$$

Reduce the fraction \frac{4400}{182} to lowest terms by extracting and canceling out 2.

$$106=x\times \frac{2200}{91}$$

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

$$x\times \frac{2200}{91}=106$$

Multiply both sides by \frac{91}{2200}, the reciprocal of \frac{2200}{91}.

$$x=106\times \frac{91}{2200}$$

Express 106\times \frac{91}{2200} as a single fraction.

$$x=\frac{106\times 91}{2200}$$

Multiply 106 and 91 to get 9646.

$$x=\frac{9646}{2200}$$

Reduce the fraction \frac{9646}{2200} to lowest terms by extracting and canceling out 2.

$$x=\frac{4823}{1100}$$