Improper & Mixed Fractions

This lesson covers:

  1. Improper fractions, which are fractions whose numerator is larger than their denominator
  2. Mixed numbers, which consist of a whole number and a fraction
  3. How to convert between improper fractions and mixed numbers

What is a mixed number?

A fraction whose numerator is larger than its denominator

A whole number and a proper fraction represented together

A fraction whose numerator is smaller than its denominator

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What is an improper fraction?

A fraction whose numerator is smaller than its denominator

A whole number and a proper fraction represented together

A fraction whose numerator is larger than its denominator

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Convert the following fraction to a mixed number.

516
3\frac{1}{5}

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Is the number below a proper fraction, an improper fraction, or a mixed number?

98

Improper fraction 

Mixed number 

Proper fraction 

None of the above

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Is the number below a proper fraction, an improper fraction, or a mixed number?

3 76

Improper fraction 

None of the above

Proper fraction 

Mixed number 

0

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1

Is the number below a proper fraction, an improper fraction, or a mixed number?

57

Proper fraction 

Improper fraction 

None of the above

Mixed number 

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Convert the following fraction to a mixed number.

49
2\frac{1}{4}

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Convert the following fraction to a mixed number.

311
3\frac{2}{3}

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Convert the following mixed number to an improper fraction.

321
\frac{7}{2}

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Convert the following mixed number to an improper fraction.

143
\frac{7}{4}

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Convert the following mixed number to an improper fraction.

785
\frac{61}{8}

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