Solve 3/frac{100{5}}=2/frac{300{x}}

$$\frac { 3 } { \frac { 100 } { 5 } } = \frac { 2 } { \frac { 300 } { x } }$$

Solve for x

$$x = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

Steps for Solving Linear Equation

Divide 3 by \frac{100}{5} by multiplying 3 by the reciprocal of \frac{100}{5}.

$$\frac{3\times 5}{100}=\frac{2}{\frac{300}{x}}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{100}=\frac{2}{\frac{300}{x}}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}=\frac{2}{\frac{300}{x}}$$

Variable x cannot be equal to 0 since division by zero is not defined. Divide 2 by \frac{300}{x} by multiplying 2 by the reciprocal of \frac{300}{x}.

$$\frac{3}{20}=\frac{2x}{300}$$

Divide 2x by 300 to get \frac{1}{150}x.

$$\frac{3}{20}=\frac{1}{150}x$$

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

$$\frac{1}{150}x=\frac{3}{20}$$

Multiply both sides by 150, the reciprocal of \frac{1}{150}.

$$x=\frac{3}{20}\times 150$$

Multiply \frac{3}{20} and 150 to get \frac{45}{2}.

$$x=\frac{45}{2}$$