Solve 18/5*130+n/45=30

$$\frac { 18 } { 5 } \times \frac { 130 + n } { 45 } = 30$$

Solve for n

$$n=245$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{18}, the reciprocal of \frac{18}{5}.

$$\frac{130+n}{45}=30\times \frac{5}{18}$$

Express 30\times \frac{5}{18} as a single fraction.

$$\frac{130+n}{45}=\frac{30\times 5}{18}$$

Multiply 30 and 5 to get 150.

$$\frac{130+n}{45}=\frac{150}{18}$$

Reduce the fraction \frac{150}{18} to lowest terms by extracting and canceling out 6.

$$\frac{130+n}{45}=\frac{25}{3}$$

Multiply both sides by 45.

$$130+n=\frac{25}{3}\times 45$$

Express \frac{25}{3}\times 45 as a single fraction.

$$130+n=\frac{25\times 45}{3}$$

Multiply 25 and 45 to get 1125.

$$130+n=\frac{1125}{3}$$

Divide 1125 by 3 to get 375.

$$130+n=375$$

Subtract 130 from both sides.

$$n=375-130$$

Subtract 130 from 375 to get 245.

$$n=245$$