Improper Fractions and Mixed Numbers Area Models

Convert this improper fraction into a mixed number. Remember mixed numbers have a whole number.

• 2

• 1 3/5

• 1 2/3

• 3/5

Use the image to help convert this mixed number into an improper fraction

• 11/4

• 8 3/4

• 10/4

• 12/4

Use the bar models to help convert the mixed number into an improper fraction

What Improper Fraction is represented by the model below?

• 1 3/4

• 3 1/4

• 13/4

• 13/16

This model can be shaded to represent the fraction 15/9.

Which number sentence represents two different ways that 

15/9 can be represented with shaded fractions on the model?

(a)  

• 7/9 + 4/9 + 4/9  =  3/9 + 4/9 + 7/9

• 2/9 + 5/9 + 7/9  =  5/9 + 5/9 + 5/9

• 3/9 + 2/9 + 10/9  =  2/9 + 5/9 + 8/9

• 2/9 + 6/9 + 7/9  =  9/9 + 2/9 + 3/9  

This model can be shaded to represent the fraction 15/9. Which number sentence represents two different ways that 15/9 can be represented with shaded fractions on the model?

• 7/9 + 4/9 + 4/9  =  3/9 + 4/9 + 7/9

• 2/9 + 5/9 + 7/9  =  5/9 + 5/9 + 5/9

• 3/9 + 2/9 + 10/9  =  2/9 + 5/9 + 8/9

• 2/9 + 6/9 + 7/9  =  9/9 + 2/9 + 3/9  

Which improper fraction does the model represent?

• 3/4

• 13/4

• 1/4

Which improper fraction does the model represent?

• 1/3

• 10/3

• 2/3

This model can be shaded to represent the fraction 15/9. Which number sentence represents two different ways that 15/9 can be represented with shaded fractions on the model?

• 7/9 + 4/9 + 4/9  =  3/9 + 4/9 + 7/9

• 2/9 + 5/9 + 7/9  =  5/9 + 5/9 + 5/9

• 3/9 + 2/9 + 10/9  =  2/9 + 5/9 + 8/9

• 2/9 + 6/9 + 7/9  =  9/9 + 2/9 + 3/9