Solve for m m+5/6=11/12

$m + \frac{5}{6} = \frac{11}{12}$

Step 1

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

$m = \frac{11}{12} - \frac{5}{6}$

Step 2

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

$m = \frac{11}{12} - \frac{5}{6} \cdot \frac{2}{2}$

Step 3

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

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

$m = \frac{11}{12} - \frac{5 \cdot 2}{6 \cdot 2}$

Multiply $6$ by $2$ .

$m = \frac{11}{12} - \frac{5 \cdot 2}{12}$

Step 4

Combine the numerators over the common denominator.

$m = \frac{11 - 5 \cdot 2}{12}$

Step 5

Simplify the numerator.

Multiply $- 5$ by $2$ .

$m = \frac{11 - 10}{12}$

Subtract $10$ from $11$ .

$m = \frac{1}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$m = \frac{1}{12}$

Decimal Form:

$m = 0.08\overline{3}$