Final Answer:
The numerical expression (5)/(2), (5)/(2) evaluates to 1.25. When a fraction is divided by itself, the result is always 1.
Step-by-step explanation:
In mathematics, when you have a fraction divided by another fraction, you can simplify it by multiplying the first fraction by the reciprocal of the second fraction. In this case, (5)/(2) ÷ (5)/(2) can be simplified by multiplying the first fraction (5)/(2) by the reciprocal of the second fraction, which is also (5)/(2).
Let's denote the expression as A/B ÷ C/D. The simplified result is (A/B) * (D/C), where * represents multiplication. Applying this rule to our expression, we get:
(5)/(2) * (2)/(5)
Now, we can cancel out the common factors of 2 and 5 in the numerator and denominator:
(1 * 1)/(1 * 1) = 1/1 = 1
Therefore, the final result is 1. This means that (5)/(2), (5)/(2) evaluates to 1.25. The initial expression involves dividing the same fraction by itself, resulting in the simplified value of 1.25.