Mixed Numbers Mixed Numbers & &

Improper Improper FractionsFractions

ObjectivesObjectives• Objective: We will convert improper

fractions to mixed numbers and mixed numbers to improper fractions.

• Language Objective: We will use key words convert, mixed number, and improper fraction.

VocabularyVocabulary• convert – to change

from one form to another

• mixed number – a whole number and a fraction

• improper fraction – a fraction larger than one whole; the numerator is larger than the denominator

Mixed NumbersMixed Numbers• A mixed number has a part that is a

whole and a part that is a fraction.

= 134

Write the mixed Write the mixed number:number:

= 3 34

= 5 12

Write the mixed Write the mixed number:number:

= 2 23

Write the mixed Write the mixed number:number:

Mixed Number → Improper Fraction

1. Multiply the whole number times the denominator

2. Add your answer to the numerator3. Put that number over the denominator

=52

Multiply the wholenumber times

the denominator

Add the numerator

2 12

2 12x

+ 5Put that number

over the denominator

2

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

92

124

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

203

236

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

175

253

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

194

344

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

193

136

Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:

435

358

Improper FractionsImproper Fractions

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

=84

Write the improper Write the improper fraction:fraction:

=194

=112

Write the improper Write the improper fraction:fraction:

=93

Write the improper Write the improper fraction:fraction:

Improper Fraction → Mixed Number

1. Divide the numerator by the denominator

2. Put the remainder over the denominator

=52

522

41

R 1Divide the

numerator by the denominator

Write the remainder

over thedenominator

2

2 12

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

73

132

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

83

232

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

92

124

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

115

152

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

105 2

If there is no remainder then your answer is

a whole number!

Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:

164 4

ConclusionConclusion• At the bottom of today’s notes,

complete this sentence:

• One thing I need to remember from today’s lesson is…