2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.

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)