Solve 36P+55(1/115)=13

$$36 P + 55 ( \frac { 1 } { 115 } ) = 13$$

Solve for P

$$P=\frac{8}{23}\approx 0.347826087$$

Steps for Solving Linear Equation

Multiply 55 and \frac{1}{115} to get \frac{55}{115}.

$$36P+\frac{55}{115}=13$$

Reduce the fraction \frac{55}{115} to lowest terms by extracting and canceling out 5.

$$36P+\frac{11}{23}=13$$

Subtract \frac{11}{23} from both sides.

$$36P=13-\frac{11}{23}$$

Convert 13 to fraction \frac{299}{23}.

$$36P=\frac{299}{23}-\frac{11}{23}$$

Since \frac{299}{23} and \frac{11}{23} have the same denominator, subtract them by subtracting their numerators.

$$36P=\frac{299-11}{23}$$

Subtract 11 from 299 to get 288.

$$36P=\frac{288}{23}$$

Divide both sides by 36.

$$P=\frac{\frac{288}{23}}{36}$$

Express \frac{\frac{288}{23}}{36} as a single fraction.

$$P=\frac{288}{23\times 36}$$

Multiply 23 and 36 to get 828.

$$P=\frac{288}{828}$$

Reduce the fraction \frac{288}{828} to lowest terms by extracting and canceling out 36.

$$P=\frac{8}{23}$$