Evaluate the difference:
`4/(9)-1/(3)`

Answer

To evaluate the difference \( \frac{4}{9} - \frac{1}{3} \), we will follow these steps:

### Step 1: Identify the fractions
We have two fractions: \( \frac{4}{9} \) and \( \frac{1}{3} \).

### Step 2: Find a common denominator
The denominators are 9 and 3. The least common multiple (LCM) of 9 and 3 is 9. So, we will convert \( \frac{1}{3} \) to have a denominator of 9.

### Step 3: Convert the second fraction
To convert \( \frac{1}{3} \) to a fraction with a denominator of 9, we multiply both the numerator and denominator by 3:
\[ \frac{1}{3} = \frac{1 \times 3}{3 \times 3} = \frac{3}{9} \]

### Step 4: Rewrite the expression
Now we can rewrite the expression with the common denominator:
\[ \frac{4}{9} - \frac{3}{9} \]

### Step 5: Subtract the numerators
Since the denominators are the same, we can subtract the numerators:
\[ \frac{4 - 3}{9} = \frac{1}{9} \]

### Step 6: Final answer
The difference \( \frac{4}{9} - \frac{1}{3} \) is:
\[ \frac{1}{9} \]

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