Solve 1/30*18+1/40x=1

$$\frac{ 1 }{ 30 } \times 18+ \frac{ 1 }{ 40 } x=1$$

Solve for x

$$x=16$$

Steps for Solving Linear Equation

Multiply \frac{1}{30} and 18 to get \frac{18}{30}.

$$\frac{18}{30}+\frac{1}{40}x=1$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{3}{5}+\frac{1}{40}x=1$$

Subtract \frac{3}{5} from both sides.

$$\frac{1}{40}x=1-\frac{3}{5}$$

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

$$\frac{1}{40}x=\frac{5}{5}-\frac{3}{5}$$

Since \frac{5}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{40}x=\frac{5-3}{5}$$

Subtract 3 from 5 to get 2.

$$\frac{1}{40}x=\frac{2}{5}$$

Multiply both sides by 40, the reciprocal of \frac{1}{40}.

$$x=\frac{2}{5}\times 40$$

Express \frac{2}{5}\times 40 as a single fraction.

$$x=\frac{2\times 40}{5}$$

Multiply 2 and 40 to get 80.

$$x=\frac{80}{5}$$

Divide 80 by 5 to get 16.

$$x=16$$