Question

2/3 m- 5/2=-1/2

Answer 1

To solve the equation \( \frac{2}{3} m - \frac{5}{2} = -\frac{1}{2} \), follow these steps:

1. **Isolate the term with \( m \)**:
Add \( \frac{5}{2} \) to both sides of the equation.

\[
\frac{2}{3} m = -\frac{1}{2} + \frac{5}{2}
\]

2. **Combine the fractions on the right side**:
The right side becomes:
\[
-\frac{1}{2} + \frac{5}{2} = \frac{4}{2} = 2
\]

Now the equation is:
\[
\frac{2}{3} m = 2
\]

3. **Multiply both sides by the reciprocal of \( \frac{2}{3} \)**:
The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \). Multiply both sides by \( \frac{3}{2} \):
\[
m = 2 \cdot \frac{3}{2}
\]

This simplifies to:
\[
m = 3
\]

Therefore, the solution is:
\[
\boxed{3}
\]