Write the rational number in ascending order :
`(-3)/(5), (-2)/(5), (-1)/(5)`

Answer

To write the rational numbers \(-\frac{3}{5}\), \(-\frac{2}{5}\), and \(-\frac{1}{5}\) in ascending order, follow these steps:

### Step 1: Identify the Rational Numbers
We have the following rational numbers:
1. \(-\frac{3}{5}\)
2. \(-\frac{2}{5}\)
3. \(-\frac{1}{5}\)

### Step 2: Check the Denominators
All the denominators are the same (5). This means we can directly compare the numerators.

### Step 3: Compare the Numerators
The numerators are:
- For \(-\frac{3}{5}\), the numerator is -3.
- For \(-\frac{2}{5}\), the numerator is -2.
- For \(-\frac{1}{5}\), the numerator is -1.

### Step 4: Determine the Order of the Numerators
Since all the numbers are negative, the largest (least negative) number will be the largest in value. Therefore:
- The largest number (least negative) is \(-\frac{1}{5}\) (numerator -1).
- The next largest is \(-\frac{2}{5}\) (numerator -2).
- The smallest number (most negative) is \(-\frac{3}{5}\) (numerator -3).

### Step 5: Write in Ascending Order
Now that we have determined the order based on the numerators, we can write the numbers in ascending order:
\[ -\frac{3}{5}, -\frac{2}{5}, -\frac{1}{5} \]

### Final Answer
The rational numbers in ascending order are:
\[ -\frac{3}{5}, -\frac{2}{5}, -\frac{1}{5} \]

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