Question

List out the various types of fraction with example?

Answer 1

Answer:

The three types of fractions are :

Proper fraction

Improper fraction

Mixed fraction

Proper fraction:

Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator)

For examples:

23, 34, 45, 56, 67, 29 58, 25, etc are proper fractions.

Types of Fractions

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Two parts are shaded in the above diagram. Total number of equal parts is 3. Therefore, the shaded part can be represented as 23 in fraction. The numerator (top number) is less compared to the denominator (bottom number). This type of fraction is called proper fraction.

Similarly,

Proper Fraction

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Three parts are shaded in the above diagram. Total number of equal parts is 4. Therefore, the shaded part can be represented as 34 in fraction. The numerator (top number) is less compared to the denominator (bottom number). This type of fraction is called proper fraction.

Note: The value of a proper fraction is always less than 1.

Improper fraction:

Fractions with the numerator either equal to or greater than the denominator are called improper fraction. (Numerator = denominator or, Numerator > denominator)

Fractions like 54, 175, 52 etc. are not proper fractions. These are improper fractions. The fraction 77 is an improper fraction.

The fractions 54, 32, 83, 65, 103, 1310, 154, 99, 2013, 1212, 1311, 1411, 1717 are the examples of improper fractions. The top number (numerator) is greater than the bottom number (denominator). Such type of fraction is called improper fraction.

Notes:

(i) Every natural number can be written as a fraction in which 1 is it's denominator. For example, 2 = 21, 25 = 251, 53 = 531, etc. So every natural number is an improper fraction.

(ii) The value of an improper fraction is always equal to or greater than 1.

Mixed fraction:

A combination of a proper fraction and a whole number is called a mixed fraction.

113, 213, 325, 425, 11110, 91315 and 1235 are examples of mixed fraction.

Two 12, make a whole.

Mixed Numbers

12 12

12 + 12 = 22 = 1

What will you get if you add one more 12 to a whole?

Mixed Fraction

12 + 12 + 12 = 1 + 22 = 112

Now, you have three half or you can say that you have a whole and a half or 12.

Number such as 112 is a mixed number.

Answer 2

Answer :Proper Fractions

Improper Fractions

Mixed Fractions

step by step explanation : Proper Fractions: The numerator is less than the denominator

Examples: 1/3, 3/4, 2/7

Improper Fractions: The numerator is greater than (or equal to) the denominator

Examples: 4/3, 11/4, 7/7

Mixed Fractions: A whole number and proper fraction together

Examples: 1 1/3, 2 1/4, 16 2/5

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