Solve for m 6=m-7/8

$6 = m - \frac{7}{8}$

Step 1

Rewrite the equation as $m - \frac{7}{8} = 6$ .

$m - \frac{7}{8} = 6$

Step 2

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

Add $\frac{7}{8}$ to both sides of the equation.

$m = 6 + \frac{7}{8}$

To write $6$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$m = 6 \cdot \frac{8}{8} + \frac{7}{8}$

Combine $6$ and $\frac{8}{8}$ .

$m = \frac{6 \cdot 8}{8} + \frac{7}{8}$

Combine the numerators over the common denominator.

$m = \frac{6 \cdot 8 + 7}{8}$

Simplify the numerator.

Multiply $6$ by $8$ .

$m = \frac{48 + 7}{8}$

Add $48$ and $7$ .

$m = \frac{55}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{55}{8}$

Decimal Form:

$m = 6.875$

Mixed Number Form:

$m = 6 \frac{7}{8}$