Transcript Mixed Numbers and Improper Fractions

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
5
8
Improper Fractions
7
10
12
3
Mixed Numbers
8
3
5
3
17
20
9
9
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
4
2
3
14
3
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
13
5
denominator
2
5 13
10
3
2
3
5
whole number
numerator
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