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