Represent `2(3)/(5)` on the number line.

Answer

To represent \(2 \frac{3}{5}\) on the number line, follow these steps:

### Step 1: Draw the Number Line
Start by drawing a horizontal line. This will be your number line.

### Step 2: Mark Whole Numbers
Label the whole numbers on the number line. Since we need to represent \(2 \frac{3}{5}\), mark at least up to 3. So, label points as follows:
- Point 0
- Point 1
- Point 2
- Point 3

### Step 3: Identify the Whole Number Part
The whole number part of \(2 \frac{3}{5}\) is 2. So, locate the point labeled 2 on your number line.

### Step 4: Divide the Segment Between 2 and 3
Now, we need to represent the fractional part \(\frac{3}{5}\). To do this, divide the segment between 2 and 3 into 5 equal parts.

### Step 5: Mark the Equal Parts
Count and mark 5 equal divisions between the points 2 and 3. Label these divisions:
- The first division after 2 is \(2 \frac{1}{5}\)
- The second division is \(2 \frac{2}{5}\)
- The third division is \(2 \frac{3}{5}\)
- The fourth division is \(2 \frac{4}{5}\)
- The fifth division is 3

### Step 6: Locate \(2 \frac{3}{5}\)
Now, find the third division after 2. This point represents \(2 \frac{3}{5}\) on the number line.

### Final Representation
You have successfully represented \(2 \frac{3}{5}\) on the number line.

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