Question

Find an irrational number between 2 ⅙ and 2 ½

Answer 1

To find an irrational number between 2 ⅙ and 2 ½, we can use the fact that the square root of 2 is an irrational number.

First, we need to convert the given fractions into decimal form:
2 ⅙ = 2 + 1/6 = 2.166666667
2 ½ = 2 + 1/2 = 2.5

Now, we can take the average of these decimal numbers to find a value between them:
(2.166666667 + 2.5) / 2 ≈ 2.333333333

Finally, we can take the square root of 2.333333333 to get an irrational number:
√2.333333333 ≈ 1.52752523

Therefore, an irrational number between 2 ⅙ and 2 ½ is approximately 1.52752523.

Answer 2

Find a fractional number between 2 1/16 and 4 1/9

Answer 3

To find a fractional number between 2 1/16 and 4 1/9, we can use the fact that there are infinitely many fractions between any two given fractions.

First, we need to convert the mixed numbers into improper fractions:
2 1/16 = 33/16
4 1/9 = 37/9

Now, we can find a fraction between 33/16 and 37/9 by taking the average of the numerators and denominators:
(33/16 + 37/9) / 2 = (297/144 + 592/144) / 2 = 889/288

Therefore, a fractional number between 2 1/16 and 4 1/9 is 889/288.

Answer 4

simplyifiy 889/288.

Answer 5

To simplify 889/288, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by that value.

The prime factors of 889 are 7 and 127.
The prime factors of 288 are 2, 2, 2, 2, 3, 3.

We can cancel out the common factors of 2 and 3:
889/288 = (7 * 127) / (2 * 2 * 2 * 2 * 3 * 3) = (7 * 127) / (2^4 * 3^2)

So, the simplified form of 889/288 is 7 * 127 / (2^4 * 3^2).