Converting Mixed Converting Mixed Numbers Numbers & & Improper Improper FractionsFractions

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 Numbers and Improper Fractions can

express the same number in two different

ways!

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

whole and a part that is a fraction.

= 1 34

*make sure to write the whole number first, by itself. Then write what's remaining as a fraction.

Write the mixed number:Write the mixed number:

= 3 34

= 5 12

Write the mixed number:Write the mixed number:

= 2 23

Write the mixed number:Write the mixed number:

Improper Fractions

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

=84

Write the improper fraction:Write the improper fraction:

=194

= Mixed number or Improper

Fraction?

MIXED 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 Fraction → Mixed Number

1. Divide the numerator by the denominator2. 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 to a Convert the improper fraction to a mixed number:mixed number:

73

132

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

83

232

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

105 2

If there is no remainder then your answer is a whole number!

Ticket out!Ticket out!• On your sticky note, convert

improper fraction to mixed number or mixed number to improper fraction:

• Place sticky note on chalk board.