Fraction Decompositions

What is decomposition?

• Making something bigger

• Breaking down something

Decompose into UNIT fractions:

 $\frac{5}{8}$  

•  $\frac{2}{8}+\frac{2}{8}+\frac{1}{8}$  

•  $\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$  

•  $\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$  

Tags

CCSS.4.NF.B.3B

Decompose

 $\frac{4}{5}$  

•  $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$  

•  $\frac{1}{5}+\frac{1}{5}+\frac{2}{5}$  

•  $\frac{2}{5}+\frac{2}{5}+\frac{2}{5}+\frac{2}{5}$  

Tags

CCSS.4.NF.B.3A

Decompose using MULTIPLICATION:

 $\frac{6}{10}$  

•  $6\times\frac{1}{10}$  

•  $10\times\frac{1}{6}$  

•  $\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$  

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

Decompose into unit fractions:

• $\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$

• $\frac{2}{6}+\frac{3}{6}$

• $\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

Tags

CCSS.4.NF.B.3B

Decompose:

• $\frac{2}{5}+\frac{2}{5}+\frac{1}{5}$

• $\frac{2}{6}+\frac{2}{6}+\frac{1}{6}$

• $\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

Tags

CCSS.4.NF.B.3A

Decompose using multiplication:

• $5\times\frac{1}{6}$

• $5\times\frac{1}{6}$

• $6\times\frac{1}{5}$

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

Decompose this tape diagram:

• $\frac{5}{5}=\frac{3}{5}+\frac{2}{5}$

• $\frac{5}{7}=\frac{3}{7}+\frac{2}{7}$

• $\frac{7}{7}=\frac{5}{7}+\frac{1}{7}$

Tags

CCSS.4.NF.B.3A

Decompose this tape diagram using multiplication:

• $\frac{5}{5}=2\times\frac{1}{5}+3\times\frac{1}{5}$

• $\frac{5}{7}=2\times\frac{1}{7}+3\times\frac{1}{7}$

• $\frac{5}{7}=5\times\frac{1}{7}$

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

How much of this chocolate cake will I eat?

•  $\frac{1}{2}$  

•  $\frac{1}{4}$  

•  $\frac{1}{1}$  

Tags

CCSS.1.G.A.3