15/26•39/40

To multiply the fractions \( \frac{15}{26} \) and \( \frac{39}{40} \), you follow these steps:

1. Multiply the numerators: \[ 15 \times 39 = 585 \]

2. Multiply the denominators: \[ 26 \times 40 = 1040 \]

3. Combine the results: \[ \frac{15}{26} \times \frac{39}{40} = \frac{585}{1040} \]

4. Now, simplify the fraction if possible. The greatest common divisor (GCD) of 585 and 1040 needs to be found. The GCD is 5.

5. Divide both the numerator and the denominator by the GCD: \[ \frac{585 \div 5}{1040 \div 5} = \frac{117}{208} \]

So, the simplified result of \( \frac{15}{26} \times \frac{39}{40} \) is \( \frac{117}{208} \).