Proper Fractions, Improper Fractions and Mixed Numbers (Mixed Fractions)

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What are Proper Fractions?
Proper Fractions are fractions where the numerator is smaller than the denominator, for example:

What are Improper Fractions?
Improper Fractions are fractions where the numerator is bigger than the denominator, for example:

What are Mixed Numbers (Mixed Fractions)?

Mixed Numbers contain a whole number and a proper fraction. A mixed number can also be expressed as an improper fraction, for example:

The following diagrams show examples of proper fraction, improper fraction, and mixed number. Scroll down the page for more examples and solutions on proper fractions, improper fractions and mixed numbers.

This fun video will illustrate the different types of fractions

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How to convert between improper fractions and mixed numbers?
Convert from Improper Fraction to Mixed Number
An improper fraction can be converted into a mixed number - first divide the numerator by the denominator. The resultant becomes the whole number, and the remainder becomes the numerator of the new fraction. The denominator of the new fraction is the same as the original denominator. If there is no remainder, then there is no fraction - the result is simply a whole number.

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Convert from Mixed Number to Improper Fraction
This following video will illustrate how to convert from a mixed number to an improper fraction

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Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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