Solve 208/x=197/5.91

$$\frac { 208 } { x } = \frac { 197 } { 5.91 }$$

Solve for x

$$x=6.24$$

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.

$$208=x\times \frac{197}{5.91}$$

Expand \frac{197}{5.91} by multiplying both numerator and the denominator by 100.

$$208=x\times \frac{19700}{591}$$

Reduce the fraction \frac{19700}{591} to lowest terms by extracting and canceling out 197.

$$208=x\times \frac{100}{3}$$

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

$$x\times \frac{100}{3}=208$$

Multiply both sides by \frac{3}{100}, the reciprocal of \frac{100}{3}.

$$x=208\times \frac{3}{100}$$

Express 208\times \frac{3}{100} as a single fraction.

$$x=\frac{208\times 3}{100}$$

Multiply 208 and 3 to get 624.

$$x=\frac{624}{100}$$

Reduce the fraction \frac{624}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{156}{25}$$