Evaluate the difference:
`10(9)/(15)-9(9)/(15)`

Answer

To evaluate the difference \( \frac{10 \frac{9}{15}}{1} - \frac{9 \frac{9}{15}}{1} \), we can follow these steps:

### Step 1: Identify the mixed fractions
We have two mixed fractions:
- \( 10 \frac{9}{15} \)
- \( 9 \frac{9}{15} \)

### Step 2: Separate the whole number and the fractional part
The whole number parts are:
- From \( 10 \frac{9}{15} \), the whole part is \( 10 \).
- From \( 9 \frac{9}{15} \), the whole part is \( 9 \).

The fractional part for both is \( \frac{9}{15} \).

### Step 3: Subtract the whole numbers
Now, we subtract the whole parts:
\[ 10 - 9 = 1 \]

### Step 4: Keep the common fractional part
Since the fractional parts are the same, we keep \( \frac{9}{15} \) as it is.

### Step 5: Combine the results
Now we combine the result of the whole number subtraction with the common fractional part:
\[ 1 \frac{9}{15} \]

### Step 6: Simplify the fraction if necessary
The fraction \( \frac{9}{15} \) can be simplified:
\[ \frac{9}{15} = \frac{3}{5} \]
Thus, we can write:
\[ 1 \frac{9}{15} = 1 \frac{3}{5} \]

### Final Answer
The final answer is:
\[ 1 \frac{3}{5} \]

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