Solve 2268/2268=12167P/800-P-9*8/20

$$\frac { 2268 } { 2268 } = \frac { 12167 P } { 800 } - P - \frac { 9 \times 8 } { 20 }$$

Solve for P

$$P=\frac{3680}{11367}\approx 0.323744172$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 453600, the least common multiple of 2268,800,20.

$$200\times 2268=567\times 12167P-453600P-22680\times 9\times 8$$

Multiply 200 and 2268 to get 453600.

$$453600=567\times 12167P-453600P-22680\times 9\times 8$$

Multiply 567 and 12167 to get 6898689. Multiply -22680 and 9 to get -204120.

$$453600=6898689P-453600P-204120\times 8$$

Combine 6898689P and -453600P to get 6445089P.

$$453600=6445089P-204120\times 8$$

Multiply -204120 and 8 to get -1632960.

$$453600=6445089P-1632960$$

Swap sides so that all variable terms are on the left hand side.

$$6445089P-1632960=453600$$

Add 1632960 to both sides.

$$6445089P=453600+1632960$$

Add 453600 and 1632960 to get 2086560.

$$6445089P=2086560$$

Divide both sides by 6445089.

$$P=\frac{2086560}{6445089}$$

Reduce the fraction \frac{2086560}{6445089} to lowest terms by extracting and canceling out 567.

$$P=\frac{3680}{11367}$$