Solve p+22/3=31/2

$$p + 2 \frac { 2 } { 3 } = 3 \frac { 1 } { 2 }$$

Solve for p

$$p=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$6p+2\left(2\times 3+2\right)=3\left(3\times 2+1\right)$$

Multiply 2 and 3 to get 6.

$$6p+2\left(6+2\right)=3\left(3\times 2+1\right)$$

Add 6 and 2 to get 8.

$$6p+2\times 8=3\left(3\times 2+1\right)$$

Multiply 2 and 8 to get 16.

$$6p+16=3\left(3\times 2+1\right)$$

Multiply 3 and 2 to get 6.

$$6p+16=3\left(6+1\right)$$

Add 6 and 1 to get 7.

$$6p+16=3\times 7$$

Multiply 3 and 7 to get 21.

$$6p+16=21$$

Subtract 16 from both sides.

$$6p=21-16$$

Subtract 16 from 21 to get 5.

$$6p=5$$

Divide both sides by 6.

$$p=\frac{5}{6}$$