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Improper Fractions


Improper fractions are one of three very important terms your child needs to be familiar with - the other two are:
Both of which I explain in detail in their individual sections.

So what is an Improper Fraction?
It is a fraction where the numerator is always greater than the denominator.

Improper fractions are important to recognize as by doing so you can immediately say it is greater than 1. This is important when your student starts comparing and ordering fractions.

improper fraction

improper fractions

concept of improper fraction


Visual representations of Improper Fractions

Express 3/4 using a diagram proper fraction Each piece is 1/4, but we have 3. 3<4 so this is not an improper fraction.
Express 4/3 using a diagram improper fraction Each piece is 1/3 - we have four pieces, so the fraction is represented by 4/3. We can clearly see that this is >1 so this is an Improper fraction.
4/3 can also be expressed as 1 1/3 or 1 + 1/3


With practice your child will soon be able to recognize improper fractions. As improper fractions can be presented in any size, it is vital that your student also masters how to convert these fractions into their equivalent Mixed Numbers.

Be sure to take advantage of our improper fractions worksheets found in our fraction worksheets section. Please also, don't forget to print out some fraction manipulatives. When these are used, identifying proper and improper fractions is done quickly and easily.




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Move fromproper fractions to printable math worksheets home page or K6Math numbers section.


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Printable Manipulatives

Fraction Manipulatives

Printable Worksheets

Fraction Worksheets

Rational Numbers
(Fractions)

Fraction Concepts Proper Fractions Improper Fractions Mixed Numbers Comparing Fractions Ordering Fractions Equivalent Fractions Simplifying/Reducing Fractions Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions Highest Common Factor Lowest Common Multiple Convert Fractions to Decimals

Percentages and Decimals

Percent to Decimal
Fraction to Percent
Percent to Fraction
Percentage of a Number







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