Revision Notes

What are Mixed Numbers & Top Heavy Fractions?

  • A mixed number has a whole number (integer) part and a fraction

e.g.  3  3/4  means “three and three quarters”

  • A top heavy fraction – also called an improper fraction – is one with the top (numerator) bigger than the bottom (denominator)

e.g.  15/ means “fifteen quarters”

Turning Mixed Numbers into Top Heavy Fractions

  1. MULTIPLY the big number by the bottom (denominator)
  2. ADD that to the top (numerator)
  3. Write as TOP HEAVY fraction

Turning Top Heavy Fractions into Mixed Numbers

  1. DIVIDE the top by the bottom (to get a whole number and a remainder)
  2. The WHOLE NUMBER is the big number. The REMAINDER goes over the bottom.

Example

1. Write 3 3/4 as a top heavy fraction:

3 x 4 = 12   

multiply the big number by the bottom

12 + 3 = 15

add to the top

3 3/15/4

your final answer should be top heavy

2. Write 13/4 as a mixed number:

13 ÷ 4 = 3 remainder 1

divide the top by the bottom

13/4 = 31/4

final answer is a mixed number

Question

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