Solve the Inequality for m m-3/8>1/2

$m - \frac{3}{8} > \frac{1}{2}$

Add $\frac{3}{8}$ to both sides of the inequality.

$m > \frac{1}{2} + \frac{3}{8}$

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$m > \frac{1}{2} \cdot \frac{4}{4} + \frac{3}{8}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{4}{4}$ .

$m > \frac{4}{2 \cdot 4} + \frac{3}{8}$

Multiply $2$ by $4$ .

$m > \frac{4}{8} + \frac{3}{8}$

Combine the numerators over the common denominator.

$m > \frac{4 + 3}{8}$

Add $4$ and $3$ .

$m > \frac{7}{8}$

The result can be shown in multiple forms.

Inequality Form:

$m > \frac{7}{8}$

Interval Notation:

$(\frac{7}{8}, \infty)$