Solve 55/100*x+40/100x=180.5

$$\frac { 55 } { 100 } \times x + \frac { 40 } { 100 } x = 180.5$$

Solve for x

$$x=190$$

Steps for Solving Linear Equation

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{20}x+\frac{40}{100}x=180.5$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{11}{20}x+\frac{2}{5}x=180.5$$

Combine \frac{11}{20}x and \frac{2}{5}x to get \frac{19}{20}x.

$$\frac{19}{20}x=180.5$$

Multiply both sides by \frac{20}{19}, the reciprocal of \frac{19}{20}.

$$x=180.5\times \frac{20}{19}$$

Convert decimal number 180.5 to fraction \frac{1805}{10}. Reduce the fraction \frac{1805}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{361}{2}\times \frac{20}{19}$$

Multiply \frac{361}{2} times \frac{20}{19} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{361\times 20}{2\times 19}$$

Do the multiplications in the fraction \frac{361\times 20}{2\times 19}.

$$x=\frac{7220}{38}$$

Divide 7220 by 38 to get 190.

$$x=190$$