Composing and Decomposing Unit Fractions

Which unit fraction representation matches the shaded portion of the figure?

• 1/2 + 1/2 = 2/2

• 1/4 + 1/4 + 1/4 + 1/4 = 4/4

• 1/6 + 1/6 = 2/6

• 2/6 + 4/6 = 6/6

To decompose a fraction means to ____.

• dig a whole in the ground

• put together

• break apart

• ignore.

The name of this fraction is ___.

• red and white

• white and red

• six sixths

• three sixths

Write the fraction as a sum of unit fractions.

• a
• b
• c
• d

• a
• b
• c
• d

Decompose the following fraction:
5/8

• 1/8 + 1/8 + 1/8 + 2/8

• 3/8 + 2/3

• 1/8 + 3/8

• 8/2 + 8/3

Which expression represents the shaded part of this figure?

Decompose this fraction.

• 1/6 + 1/6 +1/6 +1/6

• 1/4 + 1/4 + 1/4 +1/4 1/4

• 1/4 +1/4 + 1/4 + 1/4 +1/4 1/4

Mr. Bates and Ms. Ramirez were asked to determine what the fraction is based off of the unit fractions Mrs. Clark decomposed. \(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=?\) Mr. Bates composed the unit fractions to get \(\frac{3}{24}\) Ms. Ramirez composed the uint fractions to get \(\frac{1}{3}\) Which teacher correctly answered Mrs. Clark?

• Mr. Bates

• Ms. Ramirez

• Both teachers are correct

• No teacher is correct