Models to Show Fractions Greater Than One

Ethan and Brayden each made a pie. Ethan cut his pie into eighths. Brayden cut his into sixths. The models show their pies. Ethan says they can use the models to show that 1/8 is greater than 1/6. Brayden says he is wrong. Who is right?

• Brayden is right because the models are not the same size.

• Ethan is right. 1/8 is greater than 1/6.

• They are both right.

• They are both wrong.

Which fraction would go in the SECOND box?

Which fraction would go in the FIRST box?

Which fraction would go in the THIRD box?

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  

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  

Kyler read 2/3 of his book. Did Kyler read more or less than one half of his book?

• Kyler read more than half his book because 2/3 is greater than 1/2.

• Kyler read less than half his book because 2/3 is less than 1/2.

Alice and her friends eat pizza at a party. The models are shaded to show the amount of each pizza they eat.

• 1

• 7/12

• 12/13

• 1 1/12

3/6 + 2/3

• Greater than one

• Less than one