Evaluate: e. `3 (7)/( 9) xx 1 (11)/(25)`

Answer

To evaluate the expression \( 3 \frac{7}{9} \times 1 \frac{11}{25} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

For \( 3 \frac{7}{9} \):
- Multiply the whole number (3) by the denominator (9): \( 3 \times 9 = 27 \).
- Add the numerator (7): \( 27 + 7 = 34 \).
- So, \( 3 \frac{7}{9} = \frac{34}{9} \).

For \( 1 \frac{11}{25} \):
- Multiply the whole number (1) by the denominator (25): \( 1 \times 25 = 25 \).
- Add the numerator (11): \( 25 + 11 = 36 \).
- So, \( 1 \frac{11}{25} = \frac{36}{25} \).

### Step 2: Multiply the Improper Fractions
Now we will multiply the two improper fractions:
\[ \frac{34}{9} \times \frac{36}{25} \]

### Step 3: Multiply the Numerators and Denominators
Multiply the numerators together and the denominators together:
\[ \frac{34 \times 36}{9 \times 25} \]

### Step 4: Simplify the Fractions
Before multiplying, we can simplify:
- \( 36 \div 9 = 4 \) (since \( 9 \times 4 = 36 \)).
- So, we can rewrite the expression as:
\[ \frac{34 \times 4}{1 \times 25} = \frac{136}{25} \]

### Step 5: Final Answer
The final answer is:
\[ \frac{136}{25} \]

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