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How Do You Turn an Improper Fraction Into a Mixed Fraction?

Convert 33/4 to a mixed fraction

Summary

  1. A mixed fraction is a combination of a whole number and a fraction
  2. An improper fraction is a fraction whose numerator is larger than its denominator
  3. 33/4 is an improper fraction
  4. Divide 33 by 4 to get 8 remainder 1
  5. 8 becomes the whole number of the mixed fraction
  6. 1 becomes the numerator of the mixed fraction
  7. 4 remains the denominator of the mixed fraction

Notes

    1. An improper fraction is just another way of writing division
    2. So the improper fraction 33/4 means the same as 33 divided by 4
    1. To convert 33/4 to a mixed fraction, divide 33 by 4
    1. When we divide 33 by 4, we get a whole number of 8
    1. We multiply our whole number result, 8, by the divisor, 4
    2. 8•4=32
    3. Then subtract 32 from the dividend, 33
    4. 33-32=1
    5. 1 is our remainder
    1. The whole number of the mixed fraction is 8, the whole number we got when we divided
    1. The numerator of the mixed fraction is 1, the remainder
    1. The denominator of the mixed fraction is 4, the same denominator of the improper fraction
    1. 33/4 was our improper fraction
    2. That's the same as the mixed fraction 8 1/4