#### 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

3 3/15/4

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

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