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CCoonnvveerrttiinngg MMiixxeedd 
NNuummbbeerrss 
&& 
IImmpprrooppeerr 
FFrraaccttiioonnss
VVooccaabbuullaarryy 
• convert – to change 
from one form to 
another 
• mixed number – a 
whole number and a 
fraction 
• improper fraction – a 
fraction larger than 
one whole; the 
numerator is larger 
than the denominator
Mixed Numbers and 
Improper Fractions can 
express the same 
number in two different 
ways!
MMiixxeedd NNuummbbeerrss 
• A mixed number has a part that is a 
whole and a part that is a fraction. 
= 1 34 
*make sure to 
write the whole 
number first, by 
itself. Then 
write what's 
remaining as a 
fraction.
WWrriittee tthhee mmiixxeedd nnuummbbeerr:: 
= 3 34
WWrriittee tthhee mmiixxeedd nnuummbbeerr:: 
= 5 1 
2
WWrriittee tthhee mmiixxeedd nnuummbbeerr:: 
= 2 23
Improper Fractions 
• A fraction in which the numerator is 
greater than the denominator. 
= 84
WWrriittee tthhee iimmpprrooppeerr ffrraaccttiioonn:: 
= 
19 
4
= Mixed number 
or Improper 
Fraction?
MIXED NUMBER
Mixed Number → Improper Fraction 
1. Multiply the whole number times the 
denominator 
2. Add your answer to the numerator 
3. Put that number over the denominator 
+ 5 
= 
5 
2 
Multiply the whole 
number times 
the denominator 
Add the 
numerator 
2 1 
2 
2 1 
x2 
Put that number 
over the 
denominator 
2
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
9 
2 
1 
2 4
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
20 
3 
2 
3 6
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
17 
5 
2 
5 3
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
19 
4 
3 
4 4
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
19 
3 
1 
3 6
CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann 
iimmpprrooppeerr ffrraaccttiioonn:: 
43 
5 
3 
5 8
Improper Fraction → Mixed Number 
1. Divide the numerator by the denominator 
2. Put the remainder over the denominator 
2 
4 
1 
= 
5 
2 
2 5 
R 1 
Divide the 
numerator by 
the denominator 
Write the 
remainder 
over the 
denominator 
2 
2 1 
2
CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa 
mmiixxeedd nnuummbbeerr:: 
7 
3 
1 
3 2
CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa 
mmiixxeedd nnuummbbeerr:: 
8 
3 
2 
3 2
CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa 
mmiixxeedd nnuummbbeerr:: 
If there is no 
remainder then 
your answer is a 
whole number! 
10 
5 2
TTiicckkeett oouutt!! 
• On your sticky note, convert 
improper fraction to mixed number 
or mixed number to improper 
fraction: 
• Place sticky note on chalk board.

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Converting fractions improper to mixed numbers