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Find the product 34/9xx15...

Find the product
`34/9xx15`

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To find the product of \( \frac{34}{9} \times 15 \), we can follow these steps: ### Step 1: Write the expression We start with the expression: \[ \frac{34}{9} \times 15 \] ### Step 2: Convert 15 to a fraction We can write 15 as a fraction: \[ 15 = \frac{15}{1} \] Now, our expression looks like this: \[ \frac{34}{9} \times \frac{15}{1} \] ### Step 3: Multiply the fractions To multiply two fractions, we multiply the numerators together and the denominators together: \[ \frac{34 \times 15}{9 \times 1} = \frac{34 \times 15}{9} \] ### Step 4: Calculate the numerator Now, we calculate \( 34 \times 15 \): \[ 34 \times 15 = 510 \] So, we have: \[ \frac{510}{9} \] ### Step 5: Simplify the fraction Next, we simplify \( \frac{510}{9} \). We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 510 and 9 is 3. Dividing both by 3: \[ \frac{510 \div 3}{9 \div 3} = \frac{170}{3} \] ### Final Answer Thus, the product of \( \frac{34}{9} \times 15 \) is: \[ \frac{170}{3} \] ---
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