Transcript Proper and Improper Fractions

Proper and Improper
Fractions
Section 3.1
Objectives
• Write a fraction to describe the parts of a
unit
• Select proper or improper fractions from a
list of fractions
• Change improper fractions to mixed
numbers
• Change mixed numbers to improper
fractions
Objective 1:
Write a fraction to describe the
parts of a unit
Objective 1
• Fraction is a name for a number
• Upper numeral is the numerator
• Lower numeral is the denominator
Objective 2:
Select proper or improper
fractions from a list of fractions
Objective 2
• Proper fraction – numerator is less than
the denominator
• Improper fraction – numerator is greater
than or equal to denominator
Objective 3:
Change improper fractions to
mixed numbers
Objective 3
• Mixed number – sum of a whole number
and a fraction with addition sign omitted
(fraction part is usually a proper fraction)
• To change an improper fraction to a mixed
number
– Divide the numerator by the denominator
– The quotient is the whole number part
– The remainder, if there is one, is the new
numerator (Keep the denominator the same)
Objective 4:
Change mixed numbers to
improper fractions
Objective 4
• Multiply the denominator times the whole
number
• Add the numerator to the product from
step one
• Write the sum from step two over the
denominator (keep the same denominator)