This document provides instructions for converting between mixed numbers and improper fractions. It defines mixed numbers as having a whole number part and fractional part, and improper fractions as fractions where the numerator is larger than the denominator. The document then provides step-by-step instructions for converting a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator, and for converting an improper fraction to a mixed number by dividing the numerator by the denominator and writing the remainder over the denominator. Several examples are worked through.

1. CCoonnvveerrttiinngg MMiixxeedd
NNuummbbeerrss
&&
IImmpprrooppeerr
FFrraaccttiioonnss

2. 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

3. Mixed Numbers and
Improper Fractions can
express the same
number in two different
ways!

4. 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.

5. WWrriittee tthhee mmiixxeedd nnuummbbeerr::
= 3 34

6. WWrriittee tthhee mmiixxeedd nnuummbbeerr::
= 5 1
2

7. WWrriittee tthhee mmiixxeedd nnuummbbeerr::
= 2 23

8. Improper Fractions
• A fraction in which the numerator is
greater than the denominator.
= 84

9. WWrriittee tthhee iimmpprrooppeerr ffrraaccttiioonn::
=
19
4

10. = Mixed number
or Improper
Fraction?

11. MIXED NUMBER

12. 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

13. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
9
2
1
2 4

14. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
20
3
2
3 6

15. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
17
5
2
5 3

16. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
19
4
3
4 4

17. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
19
3
1
3 6

18. CCoonnvveerrtt tthhee mmiixxeedd nnuummbbeerr ttoo aann
iimmpprrooppeerr ffrraaccttiioonn::
43
5
3
5 8

19. 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

20. CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa
mmiixxeedd nnuummbbeerr::
7
3
1
3 2

21. CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa
mmiixxeedd nnuummbbeerr::
8
3
2
3 2

22. CCoonnvveerrtt tthhee iimmpprrooppeerr ffrraaccttiioonn ttoo aa
mmiixxeedd nnuummbbeerr::
If there is no
remainder then
your answer is a
whole number!
10
5 2

23. TTiicckkeett oouutt!!
• On your sticky note, convert
improper fraction to mixed number
or mixed number to improper
fraction:
• Place sticky note on chalk board.