Decomposing Fractions

Number Talk

18 + 31

Number Talk

37 + 12

Number Talk

32 + 25

Number Talk

23 + 14

Composing/ Decomposing Fractions

 we can take fractions and break them apart, or we can compose fractions by adding them together! (Just like we do with whole numbers in our number talks!)

When might you need to add fractions in your everyday life?

Multiple Choice

______ + 1/4 + 3/4 = 5/4

• 4/1

• 1/4

• -3/1

Multiple Choice

What is the missing fraction in this decomposition?

• 4/8

• 3/8

• 5/8

• 4/7

Multiple Choice

Which of the following is a unit fraction?

• 2/5

• 5/8

• 1/8

• 7/10

Multiple Choice

Decompose 3/7 into the sum of its unit fractions

• 1/7 + 1/7 + 1/7

• 1/7 + 2/7

• 4/7 - 1/7

• 7/7 - 4/7

Multiple Choice

How can you decompose 5/8?

• 4/8 + 1/8

• 1/8 + 1/8 + 1/8 + 1/8 +1/8

• 3/8 + 2/8

• All of the above

Multiple Choice

Decompose 5/12 into the sum of its unit fractions

• 2/12 + 3/12

• 1/12 + 4/12

• 1/12 + 1/12 + 1/12 + 1/12 + 1/12

• 1 + 1 + 1 + 1 + 1

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• M

• P

• R

• S

Multiple Choice

Kyleigh made a giant cookie to eat for lunch. She ate 1/5 of it and felt sick.  She gave the rest of the giant cookie to Noelle.  How much of the cookie did Noelle have? 

• 4/5

• 1/5

• 3/5

• 5/5

Multiple Choice

• A

• B, C, E

• D, E

• A, B, C

Multiple Choice

• Yes, because both show a different way to correctly decompose 8/12

• No, because 7/12 + 1/ 12 and 4/12 + 4/12 do not equal the same fraction

Multiple Choice

Using unit fractions, choose the addition sentence that shows the area shaded in pink.

• 1/2 + 1/2= 2/2

• 1/4 + 1/4= 2/4

• 1/4 + 1/4= 2/8

• 1/3+ 1/3= 2/3

Multiple Choice

What fraction is represented by the sum of 1/6 + 1/6 + 1/6?

• 3/6

• 2/6

• 4/6

• 3/18

Multiple Choice

Choose the equation that matches the shaded parts in the model.

• 4/10 + 2/10 + 1/10 = 7/10

• 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 7/10

• 4/4 + 2/2 + 1/1 = 7/10

• 4/7 + 2/7 + 1/7 = 7/7

Multiple Choice

What fraction represents the shaded area of the tape diagram?

• 3/5

• 2/5

• 5/5

Multiple Choice

Brad ate 3/4 of his Kit-Kat bar and gave the rest to Zech.  How much of the Kit-Kat bar did Zech get to eat?

• 3/4

• 1/4

• 2/4

• None

Multiple Choice

Which of the following is NOT a way to decompose 9/12?

• 4/12 + 4/12 + 1/12

• 8/12 + 1/12

• 1/12 + 1/12 + 1/12 +1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12

• 7/12 + 1/12 + 2/12

Multiple Choice

How can you decompose 4/5 into a sum of unit fractions?

• 2/5 + 2/5

• 1/5 + 1/5 +1/5 + 1/5

• 3/5 + 1/5

• 1/2 + 1/2 + 1/2 +1/2

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Which of the following equations is show in the picture?

• 1/10+1/10+1/10+1/10+1/10+1/10+1/10 = 7/10

• 2/10+3/10+2/10 = 7/10

• 5/10+2/10 = 7/10

• 5/7+2/7 = 7/10

Multiple Choice

What's another way to decompose 3/8?

• 2/8+1/8+1/8

• 3/8+3/8

• 1/8+1/8+1/8

Multiple Select

Select all of the following ways that you can correctly decompose 6/6

• 1/6 + 1/6 + 1/6 +1/6 + 1/6

• 3/6 + 3/6

• 2/6 + 2/6 + 2/6

• 3/3 + 3/3

• 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6