find the two rational number between 1/2 and 1/3
find the two rational number between 1/2 and 1/3
Answer: To find two rational numbers between 1/2 and 1/3, we can calculate their average and divide the interval into three equal parts. Here’s how we can do it:
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Finding the average:
Average = (1/2 + 1/3) / 2 = (3/6 + 2/6) / 2 = 5/12 -
Dividing the interval:
The first rational number between 1/2 and 1/3 is the average (5/12). Now, we need to find a rational number between 1/2 and 5/12, as well as another rational number between 5/12 and 1/3.To find the rational number between 1/2 and 5/12:
Average = (1/2 + 5/12) / 2 = (6/12 + 5/12) / 2 = 11/24To find the rational number between 5/12 and 1/3:
Average = (5/12 + 1/3) / 2 = (10/24 + 8/24) / 2 = 18/48 = 3/8
Therefore, the two rational numbers between 1/2 and 1/3 are 11/24 and 3/8.