Compose and Decompose with Unit Fractions

Write the fraction as a sum of unit fractions.

 $\frac{4}{8}$  

•  $\frac{2}{8}+\frac{2}{8}=\frac{4}{8}$  

•  $\frac{3}{8}+\frac{1}{8}=\frac{4}{8}$  

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

•  $\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{4}{8}$  

Tags

CCSS.3.NF.A.1

Write the fraction as a sum of unit fractions.

 $\frac{6}{6}$  

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

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

•  $\frac{3}{6}+\frac{3}{6}=\frac{6}{6}$  

•  $\frac{6}{6}=\frac{6}{6}$  

Tags

CCSS.4.NF.B.3

What does decompose mean?

• to put together

• to combine

• to add

• to break apart

Tags

CCSS.3.OA.D.9

What does compose mean?

• to break apart

• to subtract

• to put together

• to make unit fractions

Tags

CCSS.1.G.A.2

What is a unit fraction?

• a part of a whole

• a number that represents an equal part of a whole or an equal part of a set

• tells the number of equal parts being represented

• tells the number of equal parts

Which part of the fraction tells the total number of equal parts?

• numerator

• denominator

• unit fraction

• equivalent fraction

Tags

CCSS.3.G.A.2

CCSS.3.NF.A.1

Which part of the fraction tells the number of equal parts being represented?

• numerator

• denominator

• unit fraction

• equivalent fraction

What is a fraction?

• a part of a whole

• a number that represents an equal part of a whole or an equal part of a set

• tells the number of equal parts being represented

• tells the total number of equal parts

Mrs. Burdick took the fraction  $\frac{3}{3}$  and decomposed it into a sum of unit fractions. 

She decomposed it like this  $\frac{3}{3}=\frac{1}{1}+\frac{1}{1}+\frac{1}{1}$  

Do you think Mrs. Burdick is correct or incorrect in her work? Why?

• Mrs. Burdick is correct because  $\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{3}{3}$   .  $1+1+1=3$  for the numerator and denominator.

• Mrs. Burdick is correct because she did it right. 

• Mrs. Burdick is incorrect because she added it wrong.

• Mrs. Burdick is incorrect because the denominator did not stay the same. Also,  $\frac{1}{1}$  is not a unit fraction. It is a whole.  $\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{3}{1}$  

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.3

What does $\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$  equal?

•  $\frac{5}{5}$  

•  $\frac{4}{20}$  

•  $\frac{5}{20}$  

•  $\frac{4}{5}$  

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.3