Solve for p p-1/4*3=-5/6

$p - \frac{1}{4} \cdot 3 = - \frac{5}{6}$

Simplify each term.

Multiply $- \frac{1}{4} \cdot 3$ .

Multiply $3$ by $- 1$ .

$p - 3 (\frac{1}{4}) = - \frac{5}{6}$

Combine $- 3$ and $\frac{1}{4}$ .

$p + \frac{- 3}{4} = - \frac{5}{6}$

Move the negative in front of the fraction.

$p - \frac{3}{4} = - \frac{5}{6}$

Move all terms not containing $p$ to the right side of the equation.

Add $\frac{3}{4}$ to both sides of the equation.

$p = - \frac{5}{6} + \frac{3}{4}$

To write $- \frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$p = - \frac{5}{6} \cdot \frac{2}{2} + \frac{3}{4}$

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$p = - \frac{5}{6} \cdot \frac{2}{2} + \frac{3}{4} \cdot \frac{3}{3}$

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{6}$ by $\frac{2}{2}$ .

$p = - \frac{5 \cdot 2}{6 \cdot 2} + \frac{3}{4} \cdot \frac{3}{3}$

Multiply $6$ by $2$ .

$p = - \frac{5 \cdot 2}{12} + \frac{3}{4} \cdot \frac{3}{3}$

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$p = - \frac{5 \cdot 2}{12} + \frac{3 \cdot 3}{4 \cdot 3}$

Multiply $4$ by $3$ .

$p = - \frac{5 \cdot 2}{12} + \frac{3 \cdot 3}{12}$

Combine the numerators over the common denominator.

$p = \frac{- 5 \cdot 2 + 3 \cdot 3}{12}$

Simplify the numerator.

Multiply $- 5$ by $2$ .

$p = \frac{- 10 + 3 \cdot 3}{12}$

Multiply $3$ by $3$ .

$p = \frac{- 10 + 9}{12}$

Add $- 10$ and $9$ .

$p = \frac{- 1}{12}$

Move the negative in front of the fraction.

$p = - \frac{1}{12}$

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{1}{12}$

Decimal Form:

$p = - 0.08\overline{3}$