Solve for g g/5+5/6=6

$\frac{g}{5} + \frac{5}{6} = 6$

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

Subtract $\frac{5}{6}$ from both sides of the equation.

$\frac{g}{5} = 6 - \frac{5}{6}$

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

$\frac{g}{5} = 6 \cdot \frac{6}{6} - \frac{5}{6}$

Combine $6$ and $\frac{6}{6}$ .

$\frac{g}{5} = \frac{6 \cdot 6}{6} - \frac{5}{6}$

Combine the numerators over the common denominator.

$\frac{g}{5} = \frac{6 \cdot 6 - 5}{6}$

Simplify the numerator.

Multiply $6$ by $6$ .

$\frac{g}{5} = \frac{36 - 5}{6}$

Subtract $5$ from $36$ .

$\frac{g}{5} = \frac{31}{6}$

Multiply both sides of the equation by $5$ .

$5 \frac{g}{5} = 5 (\frac{31}{6})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{g}{5} = 5 (\frac{31}{6})$

Rewrite the expression.

$g = 5 (\frac{31}{6})$

Simplify the right side.

Multiply $5 (\frac{31}{6})$ .

Combine $5$ and $\frac{31}{6}$ .

$g = \frac{5 \cdot 31}{6}$

Multiply $5$ by $31$ .

$g = \frac{155}{6}$

The result can be shown in multiple forms.

Exact Form:

$g = \frac{155}{6}$

Decimal Form:

$g = 25.8\overline{3}$

Mixed Number Form:

$g = 25 \frac{5}{6}$