Find:
`19/(7)-2(2)/(7)`

Answer

To solve the problem \( \frac{19}{7} - 2\frac{2}{7} \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 2\frac{2}{7} \) can be converted to an improper fraction. To do this, we multiply the whole number (2) by the denominator (7) and then add the numerator (2).

\[ 2\frac{2}{7} = \frac{(2 \times 7) + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7} \]

### Step 2: Rewrite the expression
Now we can rewrite the original expression using the improper fraction we just calculated:

\[ \frac{19}{7} - \frac{16}{7} \]

### Step 3: Subtract the fractions
Since both fractions have the same denominator, we can subtract the numerators directly:

\[ \frac{19 - 16}{7} = \frac{3}{7} \]

### Final Answer
The result of \( \frac{19}{7} - 2\frac{2}{7} \) is:

\[ \frac{3}{7} \]

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