Find an irrational number between 2 ⅙ and 2 ½.

1 answer

To find an irrational number between 2 ⅙ and 2 ½, we can find the decimal equivalents of these two numbers and then find an irrational number between those decimal values.

The decimal equivalent of 2 ⅙ is 2 + 1/6 = 2.166666...

The decimal equivalent of 2 ½ is 2 + 1/2 = 2.5

To find an irrational number between these two decimal values, we can take the average of them: (2.166666... + 2.5) / 2 = 2.333333...

Therefore, an irrational number between 2 ⅙ and 2 ½ is approximately 2.333333... or 2 ⅓.