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Proper and improper fractions. Mixed numbers

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Improper fractions: fractions with a numerator that is bigger than the denominator.

For instance, 9/2, 7/4, and 8/3 are all improper.

Proper fraction: A fraction with a numerator that is smaller than the denominator.

For instance, 2/3, 1/4, and 6/8 are proper fractions.

Mixed number: A number written as the sum of a whole number and a proper fraction.

For instance, 2+1/3 is a mixed number. The + sign is usually omitted so as to write 2 1/3

Mixed numbers can be converted to improper fractions and vice versa
. In our example above 2 1/3 = 7/3.

To get 7/3, multiply 2 by 3 and then add 1. Keep the same denominator. That was a shortcut!

To get 7/3, you will normally add 2/1 and 1/3. Notice that the denominator for 2 is 2/1 because 2 = 2/1.




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