Order from least to greatest : `" "4(4)/(7)" 2400% 2.401"`

Answer

To order the numbers \(4 \frac{4}{7}\), \(2400\%\), and \(2.401\) from least to greatest, we will first convert all of them into decimal form.

### Step 1: Convert \(4 \frac{4}{7}\) to decimal
To convert the mixed number \(4 \frac{4}{7}\) into a decimal:
1. Convert the fraction \(\frac{4}{7}\) to decimal by dividing \(4\) by \(7\).
\[ 4 \div 7 \approx 0.571 \]
2. Add this result to \(4\):
\[ 4 + 0.571 = 4.571 \]

### Step 2: Convert \(2400\%\) to decimal
To convert \(2400\%\) to decimal:
1. Divide \(2400\) by \(100\):
\[ 2400 \div 100 = 24 \]

### Step 3: Write down the numbers in decimal form
Now we have:
- \(4 \frac{4}{7} = 4.571\)
- \(2400\% = 24\)
- \(2.401\) (already in decimal form)

### Step 4: Compare the decimal values
Now we compare the decimal values:
- \(2.401\)
- \(4.571\)
- \(24\)

### Step 5: Order from least to greatest
The order from least to greatest is:
1. \(2.401\)
2. \(4.571\)
3. \(24\)

### Final Answer
Thus, the numbers ordered from least to greatest are:
\[ 2.401, \quad 4 \frac{4}{7}, \quad 2400\% \]