Answer:
To find four rational numbers between -1/4 and 4/3, we can divide the given range into equal intervals and select rational numbers within each interval.
The given range is from -1/4 to 4/3.
Step 1: Find the interval length:
The length of the interval can be found by subtracting the lower bound from the upper bound:
Interval length = (4/3) - (-1/4) = 16/12 + 3/12 = 19/12
Step 2: Divide the interval into five equal parts:
To find the four rational numbers within the interval, divide the interval length by 5:
Interval length / 5 = (19/12) / 5 = 19/60
Step 3: Find the four rational numbers:
Now, starting from the lower bound, we can add the interval length to find the four rational numbers within the given range:
1st number: -1/4 + (19/60) = -15/60 + 19/60 = 4/60 = 1/15
2nd number: -1/4 + 2 * (19/60) = -15/60 + 38/60 = 23/60
3rd number: -1/4 + 3 * (19/60) = -15/60 + 57/60 = 42/60 = 7/10
4th number: -1/4 + 4 * (19/60) = -15/60 + 76/60 = 61/60
So, the four rational numbers between -1/4 and 4/3 are:
1/15, 23/60, 7/10, and 61/60.
Explanation: