Find the product
`7(1)/(4)xx2(3)/(16)xx2(2)/(7)`

Answer

To find the product of the mixed fractions \( 7\frac{1}{4} \times 2\frac{3}{16} \times 2\frac{2}{7} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
1. Convert \( 7\frac{1}{4} \) to an improper fraction:
\[ 7\frac{1}{4} = \frac{7 \times 4 + 1}{4} = \frac{28 + 1}{4} = \frac{29}{4} \]

2. Convert \( 2\frac{3}{16} \) to an improper fraction:
\[ 2\frac{3}{16} = \frac{2 \times 16 + 3}{16} = \frac{32 + 3}{16} = \frac{35}{16} \]

3. Convert \( 2\frac{2}{7} \) to an improper fraction:
\[ 2\frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7} \]

### Step 2: Write the Product of Improper Fractions
Now we can write the product of the three improper fractions:
\[ \frac{29}{4} \times \frac{35}{16} \times \frac{16}{7} \]

### Step 3: Simplify the Expression
Before multiplying, we can simplify:
- The \( 16 \) in the numerator of \( \frac{16}{7} \) cancels with the \( 16 \) in the denominator of \( \frac{35}{16} \):
\[ \frac{29}{4} \times \frac{35}{1} \times \frac{1}{7} \]

### Step 4: Multiply the Numerators and Denominators
Now we multiply the numerators and the denominators:
\[ \text{Numerator: } 29 \times 35 = 1015 \]
\[ \text{Denominator: } 4 \times 7 = 28 \]
So, we have:
\[ \frac{1015}{28} \]

### Step 5: Convert to Mixed Number
Now we convert \( \frac{1015}{28} \) to a mixed number:
1. Divide \( 1015 \) by \( 28 \):
- \( 28 \) goes into \( 1015 \) \( 36 \) times (since \( 28 \times 36 = 1008 \)).
- The remainder is \( 1015 - 1008 = 7 \).

So, we can write:
\[ \frac{1015}{28} = 36\frac{7}{28} \]

### Step 6: Simplify the Fraction Part
The fraction \( \frac{7}{28} \) simplifies to \( \frac{1}{4} \):
\[ 36\frac{1}{4} \]

### Final Answer
Thus, the final answer is:
\[ \boxed{36\frac{1}{4}} \]