`3/5 ` of `4/7 ` of `7/9`of 425

Options

A. 121
B. 118
C. 113
D. 110

Answer

To solve the problem \( \frac{3}{5} \) of \( \frac{4}{7} \) of \( \frac{7}{9} \) of 425, we can follow these steps:

### Step 1: Calculate \( \frac{7}{9} \) of 425
To find \( \frac{7}{9} \) of 425, we multiply:
\[ \frac{7}{9} \times 425 = \frac{7 \times 425}{9} \]
Calculating \( 7 \times 425 \):
\[ 7 \times 425 = 2975 \]
Now, divide by 9:
\[ \frac{2975}{9} \approx 330.56 \]

### Step 2: Calculate \( \frac{4}{7} \) of the result from Step 1
Now we take \( \frac{4}{7} \) of \( 330.56 \):
\[ \frac{4}{7} \times 330.56 = \frac{4 \times 330.56}{7} \]
Calculating \( 4 \times 330.56 \):
\[ 4 \times 330.56 = 1322.24 \]
Now, divide by 7:
\[ \frac{1322.24}{7} \approx 188.89 \]

### Step 3: Calculate \( \frac{3}{5} \) of the result from Step 2
Now we take \( \frac{3}{5} \) of \( 188.89 \):
\[ \frac{3}{5} \times 188.89 = \frac{3 \times 188.89}{5} \]
Calculating \( 3 \times 188.89 \):
\[ 3 \times 188.89 = 566.67 \]
Now, divide by 5:
\[ \frac{566.67}{5} \approx 113.33 \]

### Final Result
The final answer is approximately \( 113.33 \). Since we are looking for a whole number, we can round it to \( 113 \).

### Answer
The answer is \( 113 \).

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