Step-by-step explanation:
To insert three rational numbers between -3/4 and 11/4, you need to find rational numbers that lie between these two values. One way to do this is to find the average of -3/4 and 11/4 and then find the averages between those averages.
Average of -3/4 and 11/4:
((-3/4) + (11/4)) / 2 = (8/4) / 2 = 2/4 = 1/2
So, the average is 1/2. Now, we find the averages between -3/4 and 1/2, and between 1/2 and 11/4:
Between -3/4 and 1/2:
((-3/4) + (1/2)) / 2 = (-3/4 + 2/4) / 2 = -1/8
Between 1/2 and 11/4:
((1/2) + (11/4)) / 2 = (2/4 + 11/4) / 2 = 13/8
Therefore, the three rational numbers between -3/4 and 11/4 are: -1/8, 1/2, and 13/8.
