Simplify: `((- 91)/( 63) xx (-35)/(26)) - (-3 (4)/(17) xx (-85)/(33)) + ((-11)/( 18) xx (12)/(-33) xx (3)/(4))`

Answer

To simplify the expression

\[ \left(\frac{-91}{63} \times \frac{-35}{26}\right) - \left(-3 \frac{4}{17} \times \frac{-85}{33}\right) + \left(\frac{-11}{18} \times \frac{12}{-33} \times \frac{3}{4}\right), \]

we will follow these steps:

### Step 1: Simplify the first term
Calculate

\[ \frac{-91}{63} \times \frac{-35}{26}. \]

1. **Multiply the numerators and denominators:**
\[ \frac{91 \times 35}{63 \times 26}. \]

2. **Factor and simplify:**
- \(91 = 7 \times 13\),
- \(63 = 7 \times 9\),
- \(35 = 5 \times 7\),
- \(26 = 2 \times 13\).

Thus,
\[ \frac{(7 \times 13) \times (5 \times 7)}{(7 \times 9) \times (2 \times 13)} = \frac{5 \times 7}{9 \times 2} = \frac{35}{18}. \]

### Step 2: Simplify the second term
Calculate

\[ -(-3 \frac{4}{17} \times \frac{-85}{33}). \]

1. **Convert the mixed number to an improper fraction:**
\[ -3 \frac{4}{17} = -\frac{3 \times 17 + 4}{17} = -\frac{51 + 4}{17} = -\frac{55}{17}. \]

2. **Multiply:**
\[ -\left(-\frac{55}{17} \times \frac{-85}{33}\right) = \frac{55 \times 85}{17 \times 33}. \]

3. **Factor and simplify:**
- \(85 = 5 \times 17\).

Thus,
\[ \frac{55 \times (5 \times 17)}{17 \times 33} = \frac{55 \times 5}{33} = \frac{275}{33}. \]

Further simplifying \( \frac{275}{33} \):
- \(275 = 25 \times 11\),
- \(33 = 3 \times 11\).

Thus,
\[ \frac{25}{3}. \]

### Step 3: Simplify the third term
Calculate

\[ \frac{-11}{18} \times \frac{12}{-33} \times \frac{3}{4}. \]

1. **Multiply:**
\[ \frac{-11 \times 12 \times 3}{18 \times -33 \times 4}. \]

2. **Factor and simplify:**
- \(12 = 3 \times 4\),
- \(18 = 3 \times 6\),
- \(33 = 3 \times 11\).

Thus,
\[ \frac{-11 \times (3 \times 4) \times 3}{(3 \times 6) \times (-3 \times 11) \times 4} = \frac{-11 \times 3}{6 \times -11} = \frac{3}{6} = \frac{1}{2}. \]

### Step 4: Combine all terms
Now we have:

\[ \frac{35}{18} - \frac{25}{3} + \frac{1}{2}. \]

1. **Find a common denominator (which is 18):**
- Convert \( \frac{25}{3} \) to \( \frac{150}{18} \),
- Convert \( \frac{1}{2} \) to \( \frac{9}{18} \).

2. **Combine:**
\[ \frac{35}{18} - \frac{150}{18} + \frac{9}{18} = \frac{35 - 150 + 9}{18} = \frac{-106}{18}. \]

3. **Simplify:**
\[ \frac{-106}{18} = \frac{-53}{9}. \]

### Final Answer
Thus, the simplified expression is

\[ -\frac{53}{9}. \]