If the numerator is a multiple of the denominator, it's a whole number. If not, it's a mixed number.
That's by the way "improper fraction" is defined. An improper fraction is a number greater than one, written as a single fraction.
15/7 is an improper fraction. It can be re-written as the mixed number: (2 and 1/7)
Since 8 is smaller than 13, 8/13 is not a mixed number not improper fraction.
Same as a proper fraction. You check whether you can divide numerator and denominator by the same number.
Any fraction, whether proper or improper is, by definition, a rational number. A rational number is one which can be expressed as the ratio of two integers, in other words a fraction. It does not matter whether the fraction is proper (numerator lesser than denominator) or improper (numerator geater than denominator).
It is called a mixed number or a mixed fraction.
Since 25 is a whole number, it is written as a fraction as 25/1
176.25 can be written as an improper fraction or a mixed number. As an improper fraction it is 17625/100. In simplest form it is 705/4. As a mixed number it is 176 25/100. In simplest form it is 176 1/4.
A mixed number. Some people cal it a mixed fraction.
Improper Fraction.
As a mixed number it is 2 3/10. As an improper number it is 23/10.
An Improper Fraction is a fraction that has a top number greater or equal to the bottom number. It implies that numerator > denominator. 5.32 can be written as an improper fraction as: = (5.32 × 100) / (1 × 100) = 532 / 100.