To change a mixed number to an improper fraction, you multiply the whole number by the denominator, and then add that number to the numerator. That number is the numerator of the improper fraction. The denominator stays the same.
Ex.: 4 2/3
to find the improper fraction, you first multiply 4 x 3= 12. Then you add the numerator to that.
12 + 2= 14. 14 is the new numerator!! So the improper fraction is 14/3.
To change an improper fraction to a mixed number, you have to figure out how many times the denominator goes into the numerator. The answer to that is the whole number. Anything left over in the numerator that the denominator couldn't go into is the the numerator of the fraction part. Once again, the denominator stays the same.
Ex.: 12/5. 5 goes into 12 two times. The two is the whole number. 5 x 2= 10, and since 12-10 is 2, two is the numerator of the fraction part. The denominator stay the same, so the mixed number is 2 2/5
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