Try converting the following mixed numbers to fractions.
Q. `2(3)/(7)`

Answer

To convert the mixed number \(2\frac{3}{7}\) into an improper fraction, we can follow these steps:

### Step 1: Identify the components of the mixed number
The mixed number \(2\frac{3}{7}\) consists of:
- Whole number: \(2\)
- Fraction: \(\frac{3}{7}\)

### Step 2: Convert the whole number to a fraction
To convert the whole number \(2\) into a fraction with the same denominator as the fractional part, we multiply \(2\) by the denominator \(7\):
\[ 2 = \frac{2 \times 7}{7} = \frac{14}{7} \]

### Step 3: Add the fractional part
Now, we add the fraction \(\frac{3}{7}\) to the fraction we obtained from the whole number:
\[ \frac{14}{7} + \frac{3}{7} = \frac{14 + 3}{7} = \frac{17}{7} \]

### Step 4: Write the final answer
Thus, the mixed number \(2\frac{3}{7}\) as an improper fraction is:
\[ \frac{17}{7} \]

### Summary of the steps:
1. Identify the whole number and the fractional part.
2. Convert the whole number to a fraction with the same denominator.
3. Add the two fractions together.
4. Write the final improper fraction.

---