Solve for v v-5/6=-7/8

$v - \frac{5}{6} = - \frac{7}{8}$

Add $\frac{5}{6}$ to both sides of the equation.

$v = - \frac{7}{8} + \frac{5}{6}$

To write $- \frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$v = - \frac{7}{8} \cdot \frac{3}{3} + \frac{5}{6}$

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$v = - \frac{7}{8} \cdot \frac{3}{3} + \frac{5}{6} \cdot \frac{4}{4}$

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{8}$ by $\frac{3}{3}$ .

$v = - \frac{7 \cdot 3}{8 \cdot 3} + \frac{5}{6} \cdot \frac{4}{4}$

Multiply $8$ by $3$ .

$v = - \frac{7 \cdot 3}{24} + \frac{5}{6} \cdot \frac{4}{4}$

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$v = - \frac{7 \cdot 3}{24} + \frac{5 \cdot 4}{6 \cdot 4}$

Multiply $6$ by $4$ .

$v = - \frac{7 \cdot 3}{24} + \frac{5 \cdot 4}{24}$

Combine the numerators over the common denominator.

$v = \frac{- 7 \cdot 3 + 5 \cdot 4}{24}$

Simplify the numerator.

Multiply $- 7$ by $3$ .

$v = \frac{- 21 + 5 \cdot 4}{24}$

Multiply $5$ by $4$ .

$v = \frac{- 21 + 20}{24}$

Add $- 21$ and $20$ .

$v = \frac{- 1}{24}$

Move the negative in front of the fraction.

$v = - \frac{1}{24}$

The result can be shown in multiple forms.

Exact Form:

$v = - \frac{1}{24}$

Decimal Form:

$v = - 0.041\overline{6}$