What is the difference between proper fraction and improper fraction?
The fractions 1/4, 3/8, 5/11, 9/13, 14/25, ………., etc., are the fractions where the numerators are smaller than the denominators.
A fraction is said to be a proper fraction when its numerator is smaller than its denominator.
1/2, 4/7, 5/9, 7/12, ………., 15/23, 17/25, etc., are called proper fractions.
The fractions 11/5, 23/9, 18/5, 3/2, 9/8, ………., etc., are the fractions where the denominators are smaller than the numerators.
A fraction is said to be an improper fraction when its denominator is smaller than its numerator.
An improper fraction is the sum of one or
many whole number and one proper fraction
(i) 1 + 4/3 = 3/3 + 4/3 = (3 + 4)/3 = 7/3
(ii) 3 + 5/7 = (3 × 7)/7 + 5/7 = (21 + 5)/7 = 26/7
Similarly, 13/5, 27/9, 5/3, 17/2, 9/7, etc., are called improper fractions.
The explanations between the differences will help us to identify the proper fractions and the improper fractions.
● Fraction as a Part of a Whole
● Fraction as a Part of Collection
● Convert a Fraction to an Equivalent Fraction
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