Mixed numbers
a number that is made up of a whole number and a fraction
A mixed number is a combination of a whole number and a proper fraction, written in the form a b/c. The whole number represents the number of whole units, and the fraction represents a part of a whole unit.
For example, 3 1/2 is a mixed number that represents three whole units and one-half of another unit.
To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. The resulting number becomes the numerator of the improper fraction, while the denominator stays the same.
For example, 3 1/2 can be converted to an improper fraction by multiplying 3 by 2 (the denominator of 1/2) and adding 1, which gives us 7. The denominator stays the same, so the improper fraction is 7/2.
To convert an improper fraction to a mixed number, we divide the numerator by the denominator. The quotient becomes the whole number, while the remainder becomes the numerator of the fraction. The denominator stays the same.
For example, 7/2 can be converted to a mixed number by dividing 7 by 2. The quotient is 3 with a remainder of 1, so the mixed number is 3 1/2.
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