Solve x=1250-150/frac{0,3{1,5}+0,1/0,1}

$$x = \frac { 1250 - 150 } { \frac { 0,3 } { 1,5 } + \frac { 0,1 } { 0,1 } }$$

Solve for x

$$x=\frac{2750}{3}\approx 916,666666667$$

Steps for Solving Linear Equation

Subtract 150 from 1250 to get 1100.

$$x=\frac{1100}{\frac{0,3}{1,5}+\frac{0,1}{0,1}}$$

Expand \frac{0,3}{1,5} by multiplying both numerator and the denominator by 10.

$$x=\frac{1100}{\frac{3}{15}+\frac{0,1}{0,1}}$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{1100}{\frac{1}{5}+\frac{0,1}{0,1}}$$

Divide 0,1 by 0,1 to get 1.

$$x=\frac{1100}{\frac{1}{5}+1}$$

Convert 1 to fraction \frac{5}{5}.

$$x=\frac{1100}{\frac{1}{5}+\frac{5}{5}}$$

Since \frac{1}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{1100}{\frac{1+5}{5}}$$

Add 1 and 5 to get 6.

$$x=\frac{1100}{\frac{6}{5}}$$

Divide 1100 by \frac{6}{5} by multiplying 1100 by the reciprocal of \frac{6}{5}.

$$x=1100\times \frac{5}{6}$$

Express 1100\times \frac{5}{6} as a single fraction.

$$x=\frac{1100\times 5}{6}$$

Multiply 1100 and 5 to get 5500.

$$x=\frac{5500}{6}$$

Reduce the fraction \frac{5500}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{2750}{3}$$

Assign x

$$x≔\frac{2750}{3}$$