Final answer:
Solomon has 2/3 of the book left to read. To finish it over 5 nights, he needs to read 2/15 of the book each night.
Step-by-step explanation:
Solomon has read 1/3 of his book already. To finish the remaining 2/3 of the book in 5 nights, we need to calculate the fraction of the book he should read each night. Since he has to evenly distribute the remaining portion over 5 nights, we will divide 2/3 by 5.
Here's the calculation step-by-step:
First, represent the remaining part of the book as a fraction, which is 2/3.
To divide this fraction by 5, we multiply the denominator by 5. This gives us (2/3) × (1/5).
Multiplying these fractions, we get (2 × 1) / (3 × 5), which simplifies to 2/15.
Thus, Solomon reads 2/15 of the book each night for the next 5 nights.