Find the product
`2(1)/(25)xx5/(17)`

Answer

To find the product of \(2 \frac{1}{25} \times \frac{5}{17}\), we will follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
The mixed fraction \(2 \frac{1}{25}\) can be converted to an improper fraction.

To convert, we use the formula:
\[ \text{Improper Fraction} = \left(\text{Whole Number} \times \text{Denominator} + \text{Numerator}\right) / \text{Denominator} \]

For \(2 \frac{1}{25}\):
- Whole Number = 2
- Numerator = 1
- Denominator = 25

Calculating:
\[ 2 \frac{1}{25} = \frac{(2 \times 25) + 1}{25} = \frac{50 + 1}{25} = \frac{51}{25} \]

### Step 2: Write the product with improper fractions
Now we can rewrite the product:
\[ \frac{51}{25} \times \frac{5}{17} \]

### Step 3: Multiply the fractions
To multiply fractions, we multiply the numerators together and the denominators together:
\[ \frac{51 \times 5}{25 \times 17} \]

Calculating the numerator:
\[ 51 \times 5 = 255 \]

Calculating the denominator:
\[ 25 \times 17 = 425 \]

So we have:
\[ \frac{255}{425} \]

### Step 4: Simplify the fraction
Now we need to simplify \(\frac{255}{425}\). We can find the greatest common divisor (GCD) of 255 and 425.

The GCD of 255 and 425 is 85. Now we divide both the numerator and the denominator by 85:
\[ \frac{255 \div 85}{425 \div 85} = \frac{3}{5} \]

### Final Answer
Thus, the product of \(2 \frac{1}{25} \times \frac{5}{17}\) is:
\[ \frac{3}{5} \]

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