Mixed numbers are larger than proper fractions.
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When you have fractions with like denominators, the larger is the one with the larger numerator.
If the fractions have the same numerator (top number), then the fraction with the larger denominator (bottom number) is the smaller fraction, which implies that the fraction with the smaller denominator is the larger fraction. For example with 1/2 and 1/4, it can be easily seen that 1/2 is the larger of the two.
yes. When you are working with fractions like this, the smaller the denominator, the larger the fraction.
In that case, and assuming both fractions are positive, the one with the larger denominator is the smaller fraction, because you are dividing by a larger number.
The numerator and denominator in both types of fractions are integers. In a proper fraction the numerator is smaller than the denominator while in an improper fraction the numerator is larger.