Fractions V Mixed Numbers By Monica Yuskaitis Edited by LaDora Loggins.

Fractions VFractions VMixed NumbersMixed Numbers

By Monica YuskaitisBy Monica YuskaitisEdited by LaDora LogginsEdited by LaDora Loggins

Mixed NumberMixed Number

A mixed number has a part A mixed number has a part that is a whole number and that is a whole number and a part that is a fraction.a part that is a fraction.

= 1 34

What is the mixed What is the mixed number?number?

= 3 34

What is the mixed What is the mixed number?number?

= 4 34

What is the mixed What is the mixed number?number?

= 5 12

Improper FractionImproper Fraction

A fraction in which the A fraction in which the numerator is greater than numerator is greater than the denominator.the denominator.

=84

What is the improper What is the improper fraction?fraction?

= 154

What is the improper What is the improper fraction?fraction?

= 194

What is the improper What is the improper fraction?fraction?

= 112

How is the mixed number How is the mixed number below related to the below related to the improper fraction?improper fraction?

=112

=12

5

Form of a NumberForm of a Number

Mixed numbers and improper Mixed numbers and improper fractions are two ways we can fractions are two ways we can write a number that has the same write a number that has the same value. One form is easier to work value. One form is easier to work with while the other is easier to with while the other is easier to read. We choose which form we read. We choose which form we want to use depending on what we want to use depending on what we are doing in the problem. are doing in the problem.

How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number

= 52

Divide the numerator by the denominator.

Put your remainder over the denominator.

How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number

= 52

2 ) 5 numerator

denominator

How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number

= 52

2 ) 5 numerator

denominator

2 r 1

How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number

= 52

2 ) 5 numeratordenominator 2

1

Put your remainder over the Denominator.

2

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

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.

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.

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.

16

4= 4 ) 16

4

If there is no remainderyour answer is a wholenumber.

= 4

On-line Practice: Improper On-line Practice: Improper Fraction to a Mixed NumberFraction to a Mixed Number

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

+=

72

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

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

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

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

On-line Practice: Mixed On-line Practice: Mixed Numbers to Improper FractionsNumbers to Improper Fractions

Which form of the number do I Which form of the number do I use?use?

Mixed NumberMixed Number You should change all You should change all

improper fractions to improper fractions to mixed numbers when mixed numbers when you get your final you get your final answer. An improper answer. An improper fraction is not in a fraction is not in a simplified terms.simplified terms.

Improper FractionImproper Fraction It is easiest to perform It is easiest to perform

operations on an operations on an improper fraction. improper fraction. Change mixed Change mixed numbers to improper numbers to improper fractions BEFORE fractions BEFORE adding, subtracting, adding, subtracting, multiplying or multiplying or dividing.dividing.