Final answer:
The problem as stated contains a discrepancy, since it cannot be true simultaneously that the total of the three fractions is 11/20 and the difference between the highest and lowest is 13/10 if the highest is said to be 1/8. Typically, algebra would be used to solve for the three unknown fractions using the sums and differences provided.
Step-by-step explanation:
To find the other two fractions when three students call out fractions that total 11/20 and the difference between the highest and lowest fraction is 13/10 (which is greater than 1, and therefore not possible if the highest fraction is 1/8), we would normally use algebra. However, the conditions provided contain a discrepancy, since the highest fraction cannot be 1/8 if the difference to the lowest is already more than 1. Nonetheless, assuming there was a mistake in the question and that the highest fraction is not 1/8, here's how you would approach it:
Let the three fractions be A, B, and C with A being the highest fraction and C being the lowest. Since B is in between A and C, we can write down these equations based on the information given:
- A + B + C = 11/20
- A - C = 13/10
We have two equations but three unknowns, which would normally require another condition to solve. With only the information provided and correcting for the apparent error in the highest fraction, the problem does not have enough data to find a unique solution. Critical thinking and recognizing such discrepancies is important in working through mathematical problems.