Solve p-31/6=-21/2

$$p - 3 \frac { 1 } { 6 } = - 2 \frac { 1 } { 2 }$$

Solve for p

$$p=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 6 to get 18.

$$6p-\left(18+1\right)=-3\left(2\times 2+1\right)$$

Add 18 and 1 to get 19.

$$6p-19=-3\left(2\times 2+1\right)$$

Multiply 2 and 2 to get 4.

$$6p-19=-3\left(4+1\right)$$

Add 4 and 1 to get 5.

$$6p-19=-3\times 5$$

Multiply -3 and 5 to get -15.

$$6p-19=-15$$

Add 19 to both sides.

$$6p=-15+19$$

Add -15 and 19 to get 4.

$$6p=4$$

Divide both sides by 6.

$$p=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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