Simpilfy:
`6(1)/(6)-5(1)/(5)+3(1)/(3)`

Answer

To simplify the expression \( 6 \left( \frac{1}{6} \right) - 5 \left( \frac{1}{5} \right) + 3 \left( \frac{1}{3} \right) \), we will follow these steps:

### Step 1: Convert the mixed fractions into improper fractions
We can rewrite the expression as:
\[ 6 \cdot \frac{1}{6} = \frac{6}{6} = 1 \]
\[ 5 \cdot \frac{1}{5} = \frac{5}{5} = 1 \]
\[ 3 \cdot \frac{1}{3} = \frac{3}{3} = 1 \]

### Step 2: Substitute back into the expression
Now substituting these values back into the expression gives us:
\[ 1 - 1 + 1 \]

### Step 3: Perform the operations
Now we can simplify:
\[ 1 - 1 = 0 \]
Then,
\[ 0 + 1 = 1 \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{1} \]

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