Solve 2/9=p-1/p

$$\frac { 2 } { 9 } = \frac { p - 1 } { p }$$

Solve for p

$$p = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9p, the least common multiple of 9,p.

$$2p=9\left(p-1\right)$$

Use the distributive property to multiply 9 by p-1.

$$2p=9p-9$$

Subtract 9p from both sides.

$$2p-9p=-9$$

Combine 2p and -9p to get -7p.

$$-7p=-9$$

Divide both sides by -7.

$$p=\frac{-9}{-7}$$

Fraction \frac{-9}{-7} can be simplified to \frac{9}{7} by removing the negative sign from both the numerator and the denominator.

$$p=\frac{9}{7}$$