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When the numerator is less than the denominator then it is a common fraction but if the numerator is greater than the denominator then it is an improper fraction.
To determine whether the sum of two fractions with a common denominator is greater than, less than, or equal to 1, you need to add the numerators of the fractions together and compare the result to the common denominator. If the sum of the numerators is greater than the denominator, the sum of the fractions will be greater than 1. If the sum of the numerators is less than the denominator, the sum of the fractions will be less than 1. If the sum of the numerators is equal to the denominator, the sum of the fractions will be equal to 1.
That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.
The least common denominator is the least common multiple of the denominators of the fractions.
A common denominator is needed when adding or subtracting fractions of different denominators.