What is 29 over 29 in simplest form?

Answer 1

We can define division as an operation in which we multiply a number by the inverse of another. Thus, we can use this formula to represent it:

Where "x = y * z",
"x / z = y".

Division itself dates back several hundred years into the era of Babylon, when mathematicians first started to surface all around Mesopotamia. Originally, division was abundant; fractions such as seen in your example of 29/29 above were quite common.

However, division is far more complex than they understood. When we integrate complex numbers into our equations, we need to solve using imaginary numbers; as there is no way to divide out the imaginary aspect of complex numbers. We will get something like this (courtesy Wikipedia):
http://upload.wikimedia.org/math/6/4/b/64b35087f7fad12d194a579e67803732.png

Unfortunately, once we get into matrices, we can no longer use division. Although we can invert matrices using the identity and augmented matrices, as well as division, there is no way to divide two matrices A/B. This is when we'd use something like this: A * B^-1. In your case, this would look something like [29] * [29]^1.

Using the Law of Cancellation, we can determine that the fraction is indeed a numeral 29 over another numeral 29. When we collate these two numbers into an integer fraction, we end up with the result of:

29/29 = 1.