Solve for m -1/2=m-7/4

$- \frac{1}{2} = m - \frac{7}{4}$

Rewrite the equation as $m - \frac{7}{4} = - \frac{1}{2}$ .

$m - \frac{7}{4} = - \frac{1}{2}$

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

Add $\frac{7}{4}$ to both sides of the equation.

$m = - \frac{1}{2} + \frac{7}{4}$

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$m = - \frac{1}{2} \cdot \frac{2}{2} + \frac{7}{4}$

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$m = - \frac{2}{2 \cdot 2} + \frac{7}{4}$

Multiply $2$ by $2$ .

$m = - \frac{2}{4} + \frac{7}{4}$

Combine the numerators over the common denominator.

$m = \frac{- 2 + 7}{4}$

Add $- 2$ and $7$ .

$m = \frac{5}{4}$

The result can be shown in multiple forms.

Exact Form:

$m = \frac{5}{4}$

Decimal Form:

$m = 1.25$

Mixed Number Form:

$m = 1 \frac{1}{4}$