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Mixed Numbers
&
Improper
Fractions
Vocabulary• 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
• A mixed number has a part that is a
whole and a part that is a fraction.
= 13
4
Write the mixed number:
= 33
4
= 51
2
Write the mixed number:
= 22
3
Write the 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
2
Multiply the whole
number times
the denominator
Add the
numerator
21
2
21
2x
+ 5
Put that number
over the
denominator
2
Convert the mixed number to an
improper fraction:
9
2
1
24
Convert the mixed number to an
improper fraction:
20
3
2
36
Convert the mixed number to an
improper fraction:
17
5
2
53
Convert the mixed number to an
improper fraction:
19
4
3
44
Convert the mixed number to an
improper fraction:
19
3
1
36
Convert the mixed number to an
improper fraction:
43
5
3
58
Improper Fractions
• A fraction in which the numerator is
greater than the denominator.
=8
4
Write the improper fraction:
=19
4
=11
2
Write the improper fraction:
=9
3
Write the improper fraction:
Improper Fraction → Mixed Number
1. Divide the numerator by the denominator
2. Put the remainder over the denominator
=5
2
52
2
4
1
R 1Divide the
numerator by
the denominator
Write the
remainder
over the
denominator
2
21
2
Convert the improper fraction to a
mixed number:
7
3
1
32
Convert the improper fraction to a
mixed number:
8
3
2
32
Convert the improper fraction to a
mixed number:
9
2
1
24
Convert the improper fraction to a
mixed number:
11
5
1
52
Convert the improper fraction to a
mixed number:
10
5 2
If there is no
remainder then
your answer is a
whole number!
Convert the improper fraction to a
mixed number:
16
4 4