Final answer:
To insert four rational numbers between 4/5 and 5/6, find a common denominator, divide the interval between the numerators into five equal parts.
Step-by-step explanation:
To insert four rational numbers between 4/5 and 5/6, we need to find a common denominator for the two fractions. The least common multiple (LCM) of 5 and 6 is 30. So, we can rewrite the fractions as 24/30 and 25/30. Now, we can divide the interval between the numerators (24 and 25) into five equal parts and add the results to the original fractions. The four rational numbers between 4/5 and 5/6 are 24/30, 27/30, 28/30, and 29/30.