(KS2, Year 3)
An improper fraction is a type of fraction
The top number of an improper fraction (called the numerator
) is greater than or equal to the bottom number (called the denominator
The Oxford English Dictionary defines a proper fraction as "a fraction whose numerator is greater than (or equal to) its denominator, and whose value is therefore greater than (or equal to) unity."
Examples of Improper Fractions
Here are some examples of improper fractions:
Visualizing Improper Fractions
A useful way of visualizing fractions
is to picture it as a cake being cut into equal parts.
The top number (the numerator) tells you have many slices you have. The bottom number (the denominator) tells you how many equal slices the cake is cut into.
For improper fractions, there are enough slices to make at least one whole cake, and there may be more slices to spare:
Here is an interactive widget
to help you learn about the types of fractions.
Improper fractions are sometimes called "top-heavy" fractions because the top of the fraction is bigger than the bottom.
What Is a Fraction?
is a part of a whole number.
Fractions consist of a numerator
and a denominator
There are three different types of fractions:
The Size of Improper Fractions
An improper fraction is always greater than or equal to 1.
If the numerator is equal to the denominator, the improper fraction is equal to 1.
If the numerator is greater than the denominator, the improper fraction is greater than 1.
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What is a fraction?
What is a numerator?
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What is a proper fraction?
What is a mixed fraction?
Converting improper fractions to mixed fractions
Learn more about the types of fractions ( interactive widget)