In learn fractions page, we will become familiar with the various types of fractions.
Learn fractions of various types:
Fractions in which the numerators are less than the denominators are called proper fractions.
½, 2/3, 4/7.
NOTE: The value of proper fractions is always less than 1.
2. Improper Fractions:
Fractions in which the numerators are greater than the denominators are called improper fractions.
3/2, 7/5, 102/57.
NOTE: The value of improper fractions is always greater than 1.
Fractions that contain both a whole number and a fraction are called Mixed Fractions.
2⅓, 4⅗, 9⅝ are all mixed fractions.
In the mixed fraction:
2⅓, the whole number is 2, while the fraction is ⅓, and
4⅗, the whole number is 4, while the fractions is ⅗, and
9⅝, the whole number is 9, while the fraction is ⅝.
Fractions in which the denominators are either 10 or positive integral powers of 10 are called Decimal Fractions.
3/10, 7/100, 10/1000
Fractions in which the denominators are not 10 or powers of 10 are called Vulgar Fractions.
3/8, 4/9, 5/31, 23/59 and so on.
Fractions in which both the numerator and denominators are whole numbers are called Simple Fractions.
7/11, 25/39, 62/131 and so on.
Fractions in which either the numerator or the denominator or both are fractions are called Complex Fractions.
7/⅝, 9/⅗ and so on.
In the complex fraction 7/⅝, the numerator is 7 and the denominator is ⅝, and
In the complex fraction 9/⅗, the numerator is 9 and the denominator is ⅗
Fractions that have the same value on simplifying are called Equivalent Fractions.
2/3, 4/6, 20/30.
Fraction 4/6 = 2/3 and
20/30 = 2/3
So, the three fractions 2/3, 4/6, 20/30 are same in value and the value is 2/3
Tip: To find equivalent fractions of a given fraction, multiply a same value to both numerator and denominator of the given fraction.
A few equivalent fractions of the fraction 3/5 are:
(3 × 4)/ (5 × 4) = 12/20,
(3 × 7)/ (5× 7) = 21/35
Fractions in which the denominators are same are called Like Fractions.
3/7, 5/7, 11/7.
10. Unlike Fractions:
Fractions in which the denominators are different are called Unlike Fractions.
Examples: ¾, 8/9, 11/15.