Solve x-45=6/frac{2{2%}}

$$x-45= \frac{ 6 }{ \frac{ 2 }{ 2 \% } }$$

Solve for x

$$x = \frac{2253}{50} = 45\frac{3}{50} = 45.06$$

Steps for Solving Linear Equation

Divide 6 by \frac{2}{\frac{2}{100}} by multiplying 6 by the reciprocal of \frac{2}{\frac{2}{100}}.

$$x-45=\frac{6\times \frac{2}{100}}{2}$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$x-45=\frac{6\times \frac{1}{50}}{2}$$

Multiply 6 and \frac{1}{50} to get \frac{6}{50}.

$$x-45=\frac{\frac{6}{50}}{2}$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$x-45=\frac{\frac{3}{25}}{2}$$

Express \frac{\frac{3}{25}}{2} as a single fraction.

$$x-45=\frac{3}{25\times 2}$$

Multiply 25 and 2 to get 50.

$$x-45=\frac{3}{50}$$

Add 45 to both sides.

$$x=\frac{3}{50}+45$$

Convert 45 to fraction \frac{2250}{50}.

$$x=\frac{3}{50}+\frac{2250}{50}$$

Since \frac{3}{50} and \frac{2250}{50} have the same denominator, add them by adding their numerators.

$$x=\frac{3+2250}{50}$$

Add 3 and 2250 to get 2253.

$$x=\frac{2253}{50}$$