An improper fraction is one where the denominator is larger than the numerator

The method to write a mixed number as an improper fraction.

1) Times the whole number by the denominator.

2) add the original numerator to the answer in step one.

3) Now place your answer in step 2 as the numerator and place original denominator as the denominator.

4 2/3 = 14/3

The method to write an improper fraction as a mixed number.

1) divide the numerator by the denominator this answer is the whole number for the mixed number.

2) The remainder of this answer is the new numerator.

3) the denominator stays the same.

31/4 = 7 3/4

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