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2-5 Improper 2-5 Improper Fractions &Fractions &
Mixed NumbersMixed Numbers
A proper fraction has a numerator that is less than its denominator.
34
12 3
8
proper fraction
An improper fraction has a numerator that is more than or equal to its denominator.
54
112 33
8
improper fraction
What is the improper What is the improper fraction?fraction?
= 154
Don’t write, just figure it out
What is the improper What is the improper fraction?fraction?
= 194
Don’t write, just figure it out
What is the improper What is the improper fraction?fraction?
= 112
Don’t write, just figure it out
A mixed number shows the sum of a whole number and a proper fraction.
34
12 3
8
Mixed number
1 2 3
What is the mixed What is the mixed number?number?
= 3 34
Don’t write, just figure it out
What is the mixed What is the mixed number?number?
= 4 34
Don’t write, just figure it out
What is the mixed What is the mixed number?number?
= 5 12
Don’t write, just figure it out
Ex: Mixed number and Ex: Mixed number and improper fraction equal each improper fraction equal each
otherother
=112
=12
5
Don’t write, just figure it out
How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number
Divide the numerator by the denominator. Put your remainder over the denominator.
35
32
153
Improper Fraction Divide
Mixed Number
53
1
32
23
Convert Improper Fractions to Mixed Numbers
= =
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
7
3= 3 ) 7
2 r 1
Put your remainder over the denominator.
= 213
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
8
3= 3 ) 8
2 r 2
Put your remainder over the denominator.
= 223
Go to Go to page page 7878
How to change a mixed How to change a mixed number to an improper fractionnumber to an improper fraction
Multiply the whole number times Multiply the whole number times the denominator.the denominator.
Add your answer to the Add your answer to the numerator.numerator.
Put your new number Put your new number over the denominator.over the denominator.
Convert Mixed Numbers Convert Mixed Numbers to Improper Fractionsto Improper Fractions
How many thirds are in the whole number?
32
4FIRST multiply denominator by the whole number
3 x 4
NEXT
PLUS how many thirds are in the fraction?
3 x 4 = 12
3Keep the same denominator
LAST The sum is the numerator
32
4
12 + 2
12 + 2 = 14
14
add the productto the numerator
How to change a mixed How to change a mixed number to an improper fractionnumber to an improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
4 12x
+=
92
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
6 23x
+=203
Go to Go to page page 7777
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
9
2= 2 ) 9
4 r 1
Put your remainder over the denominator.
= 412
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
11
5= 5 ) 11
2 r 1
Put your remainder over the denominator.
= 215
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
10
5= 5 ) 10
2
If there is no remainderyour answer is a wholenumber.
= 2
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
16
4= 4 ) 16
4
If there is no remainderyour answer is a wholenumber.
= 4
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
Go to Go to page page 7878
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
3 25x
+=175
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
4 34x
+=194
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
6 23x
+=203
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
8 35x
+=435
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Homework TimeHomework Time
Pg 93 2-32 even(20-32 show work)
