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. 15/4 means “fifteen quarters”
Turning Mixed Numbers into Top Heavy Fractions
- MULTIPLY the big number by the bottom (denominator)
- ADD that to the top (numerator)
- Write as TOP HEAVY fraction
Turning Top Heavy Fractions into Mixed Numbers
- DIVIDE the top by the bottom (to get a whole number and a remainder)
- The WHOLE NUMBER is the big number. The REMAINDER goes over the bottom.
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 3/4 = 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
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