Write the following in ascending order:
`(-3)/(7),(-3)/(2),(-3)/(4)`

Answer

To write the fractions \(-\frac{3}{7}\), \(-\frac{3}{2}\), and \(-\frac{3}{4}\) in ascending order, we can follow these steps:

### Step 1: Identify the fractions
The fractions we need to compare are:
1. \(-\frac{3}{7}\)
2. \(-\frac{3}{2}\)
3. \(-\frac{3}{4}\)

### Step 2: Find a common denominator
To compare these fractions easily, we need to find a common denominator. The denominators are 7, 2, and 4. The least common multiple (LCM) of these numbers is 28.

### Step 3: Convert each fraction to have the common denominator
Now, we convert each fraction to have a denominator of 28:

1. For \(-\frac{3}{7}\):
\[ -\frac{3}{7} = -\frac{3 \times 4}{7 \times 4} = -\frac{12}{28} \]

2. For \(-\frac{3}{2}\):
\[ -\frac{3}{2} = -\frac{3 \times 14}{2 \times 14} = -\frac{42}{28} \]

3. For \(-\frac{3}{4}\):
\[ -\frac{3}{4} = -\frac{3 \times 7}{4 \times 7} = -\frac{21}{28} \]

### Step 4: Compare the fractions
Now we have:
1. \(-\frac{12}{28}\)
2. \(-\frac{42}{28}\)
3. \(-\frac{21}{28}\)

Since all the fractions have the same denominator, we can compare the numerators. In the case of negative fractions, a smaller numerator means a larger (less negative) value.

- \(-42\) is the smallest (most negative)
- \(-21\) is the next
- \(-12\) is the largest (least negative)

### Step 5: Write in ascending order
Thus, in ascending order, we have:
\[ -\frac{42}{28} < -\frac{21}{28} < -\frac{12}{28} \]

Converting back to the original fractions, we get:
\[ -\frac{3}{2} < -\frac{3}{4} < -\frac{3}{7} \]

### Final Answer
The ascending order of the fractions is:
\[ -\frac{3}{2}, -\frac{3}{4}, -\frac{3}{7} \]

---