Solve : `2/(5) p +3=18/5`

Answer

To solve the equation \( \frac{2}{5} p + 3 = \frac{18}{5} \), we will follow these steps:

### Step 1: Eliminate the fraction by multiplying both sides by 5
Multiply the entire equation by 5 to eliminate the fractions:

\[ 5 \left( \frac{2}{5} p + 3 \right) = 5 \left( \frac{18}{5} \right) \]

### Step 2: Simplify both sides
Distributing 5 on the left side:

\[ 5 \cdot \frac{2}{5} p + 5 \cdot 3 = 18 \]

The \(5\) and \(\frac{5}{5}\) cancel out:

\[ 2p + 15 = 18 \]

### Step 3: Isolate the term with \(p\)
Now, subtract 15 from both sides to isolate the term with \(p\):

\[ 2p = 18 - 15 \]

### Step 4: Simplify the right side
Calculating the right side gives:

\[ 2p = 3 \]

### Step 5: Solve for \(p\)
Now, divide both sides by 2 to solve for \(p\):

\[ p = \frac{3}{2} \]

### Step 6: Convert to decimal (if needed)
If you want to express this as a decimal:

\[ p = 1.5 \]

Thus, the solution is:

\[ p = \frac{3}{2} \quad \text{or} \quad p = 1.5 \]

---