Download 6.7 Changing Improper Fractions to Mixed Numbers

6.7 Changing Improper
Fractions to Mixed Numbers
You learned earlier that the value of an
improper faction must be equal to or
greater than 1. Fractions such as 4/4 ,
5/4 , 6/4 , etc., are improper fractions.
5/4 > 1
4/4 = 1
5/4 = 1 and ¼, which is written 1 ¼ . This is
called a mixed number. It is made up of
two parts:
1= whole number
¼ = proper fraction
Improper Fractions to Mixed
Numbers
An improper fraction can be changed
into a mixed number either by using the
method just shown (drawing) or by
dividing.
Recall that the line separationg the 5
and 4 means that the numerator is being
divided by the denominator:
Example
• Write 6/4 as a mixed number.
Solution
Problem
Step 1
Step 2
Step 3
Set up the
Division: the
denominator
into the
numerator:
Divide.
Write the
remainder as
the numerator
and the divisor
as the
denominator of
a fraction in its
simplest form:
6/4 = ?
Another example:
• Write 32/5 as a mixed number:
Now let’s Reverse!
Change 2 ½ into an improper fraction.
Solution
Problem
Step 1
Step 2
Multiply the
whole number
by the
denominator.
Add the
numerator to
the product.
Keep the same
denominator
Add the
numerators
2½=?
Step 3
Another Example…
• Change 4 and 2/3 into an improper
fraction.