Final answer:
To find the second fraction when given that the product of two fractions is 5 and one fraction is 13 4/7, we convert the mixed number into an improper fraction and set up an equation to solve for the unknown fraction, which results in 7/19.
Step-by-step explanation:
The student's question involves finding the second fraction when the product of two fractions is known to be 5, given that one of the fractions is 13 4/7. First, we convert the mixed number into an improper fraction by multiplying 7 (the denominator) by 13 (the whole number) and adding 4 (the numerator), resulting in 95/7. To find the other fraction, we set up the equation (95/7) × x = 5, where x is the fraction we need to find.
By cross-multiplying, we would perform 5 × 7 = 95 × x. Simplifying this, we find that x = 35/95, which can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 5, resulting in the fraction 7/19.