Find:
`4(3)/(7)-2(4)/(7)`

Answer

To solve the problem \( 4\frac{3}{7} - 2\frac{4}{7} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

For \( 4\frac{3}{7} \):
- Multiply the whole number (4) by the denominator (7):
\[ 4 \times 7 = 28 \]
- Add the numerator (3) to this product:
\[ 28 + 3 = 31 \]
- So, \( 4\frac{3}{7} \) becomes:
\[ \frac{31}{7} \]

For \( 2\frac{4}{7} \):
- Multiply the whole number (2) by the denominator (7):
\[ 2 \times 7 = 14 \]
- Add the numerator (4) to this product:
\[ 14 + 4 = 18 \]
- So, \( 2\frac{4}{7} \) becomes:
\[ \frac{18}{7} \]

### Step 2: Subtract the Improper Fractions
Now we can subtract the two improper fractions:
\[ \frac{31}{7} - \frac{18}{7} \]
Since the denominators are the same, we can subtract the numerators directly:
\[ \frac{31 - 18}{7} = \frac{13}{7} \]

### Step 3: Convert Back to Mixed Number (if needed)
The result \( \frac{13}{7} \) can be converted back to a mixed number:
- Divide 13 by 7, which gives 1 with a remainder of 6.
- Thus, \( \frac{13}{7} \) can be written as:
\[ 1\frac{6}{7} \]

### Final Answer
The final answer is:
\[ \frac{13}{7} \quad \text{or} \quad 1\frac{6}{7} \]

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