### Proper, Improper, Unit and Mixed Fractions

**Tags:**Free Worksheet PDF on Proper fraction, Improper fraction, Unit fraction, Mixed fraction for class IV, Lesson on Proper fraction, Improper fraction, Unit fraction, Mixed fraction for class IV, Changing a mixed fraction to improper fraction for class 4, How to change a mixed fraction to improper fractions, Comparing mixed and improper fraction, How to compare two mixed fractions, Worksheet PDF based on proper, improper, Mixed and unit fraction, Quiz on proper, Unit and mixed fractionProper Fractions

Fraction whose numerator is less than its denominator is called Proper fraction. Proper fraction is always less than a whole.

__Example:__

Here, Numerator < Denominator (Numerator is smaller than Denominator)

Therefore 3/5 is a proper fraction.

Improper Fractions

Fraction whose numerator is more than or equal to its denominator is called Improper fraction.

__Example:__

Here, Numerator > Denominator (Numerator is greater than Denominator)

Therefore 8/5 is an improper fraction.

Unit Fractions

A fraction with numerator 1 is called Unit fraction.

__Example:__1/9 , 1/8

Mixed Fractions

Fraction made up of a whole number and a proper number is called Mixed fraction.

__Example:__Here, 5 is a whole number and ¾ is a proper fraction.

__Changing a Mixed Fraction into Improper Fraction__**Step1:**First multiply the whole number with denominator.**Step2:**Then add product of whole number and denominator with numerator**Step3:**Write the resultant number as numerator. Also write the denominator.__Example:__5 x 4 +3 = 23

Improper Fraction = 23/4

__Comparing a mixed fraction with an improper fraction____Example:__

**Step1**: Change the mixed fraction into improper fraction.

**Step2:**Compare 11/2 and 3/2As 11 > 3

Therefore 11/2 > 3/2

Hence,

__Comparing two mixed fraction__**Case 1: When integral parts are different**__Example:__

Compare the integral part: 4 > 2

Therefore

**Case 2: When integral parts are same**Example:

As integral part are same, so we will compare 2/7 and 1/3 using cross multiplication.

2 x 3 < 1 x 7

Therefore

__Related Topics__Fraction (Concept of Fractions)

Subtraction Of Unlike Fraction

Properties Of Addition and Subtraction Of Fractions

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