Solve p+51/2=125/8

$$p + 5 \frac { 1 } { 2 } = 12 \frac { 5 } { 8 }$$

Solve for p

$$p = \frac{57}{8} = 7\frac{1}{8} = 7.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$8p+4\left(5\times 2+1\right)=12\times 8+5$$

Multiply 5 and 2 to get 10.

$$8p+4\left(10+1\right)=12\times 8+5$$

Add 10 and 1 to get 11.

$$8p+4\times 11=12\times 8+5$$

Multiply 4 and 11 to get 44.

$$8p+44=12\times 8+5$$

Multiply 12 and 8 to get 96.

$$8p+44=96+5$$

Add 96 and 5 to get 101.

$$8p+44=101$$

Subtract 44 from both sides.

$$8p=101-44$$

Subtract 44 from 101 to get 57.

$$8p=57$$

Divide both sides by 8.

$$p=\frac{57}{8}$$