# Mixed Numbers and Improper Fractions (PowerPoint) by ewghwehws

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```									Mixed Numbers and Improper
Fractions
Lesson 3-5
Vocabulary
A proper fraction has a numerator that is less than its
denominator.

An improper fraction has a numerator that is more than or
equal to its denominator.

A mixed number shows the sum of a whole number and a
proper fraction.
Examples
Proper Fractions                     Improper Fractions
5        7                           12        9
8       10                            3        9

Mixed Numbers

3
8    5            3   17
20
Writing Mixed Numbers as
Improper Fractions
• Multiply the denominator of the fraction by
the whole number.
• Add the product to the numerator.
• The resulting sum is the numerator of the
improper fraction.
• The denominator remains the same.
Example

2      14
4   3       3

4      34
6   5       5
Try These

1
7   5

3
5   7

1      36
7   5       5

3      38
5   7       7
Writing Improper Fractions
as Mixed Numbers

• If you have an improper fraction, you can
divide the denominator into the numerator.
• The quotient becomes the whole number
part of the mixed number.
• The remainder is the numerator of the
fraction.
• The divisor is the denominator of the
fraction.
Example
whole number
13               2
5            5 13
10
denominator
3       numerator

3
2   5
Another Example
whole number
19               6
3            3 19
18
denominator
1    numerator

1
6   3
Try these

11    24         9
6     7         4