Decomposing Fractions into Unit Fractions

What does it mean to decompose a fraction?

• To divide the fraction into smaller parts

• To multiply the fraction by another fraction

• To add the fraction to another fraction

• To subtract one fraction from another

In an area model, how is 1/4 represented?

• One out of four parts is shaded

• Four out of four parts are shaded

• Two out of four parts are shaded

• Three out of four parts are shaded

Which of the following is a correct representation of a fraction on a number line?

• Random points on the line

• Equal parts between whole numbers

• Only decimals

• Only whole numbers

What is the numerator in a fraction?

• The total number of equal parts

• The number of unshaded parts

• The number of shaded parts

• The total number of parts

What does the denominator represent in a fraction?

• The total number of parts available

• The number of parts being considered

• The difference between shaded and unshaded parts

• The sum of shaded parts

How can 5/6 be decomposed using an area model?

• 2/6 + 3/6

• 5/6 + 0/6

• 4/6 + 1/6

• 1/6 + 1/6 + 1/6 + 1/6 + 1/6

What is another way to decompose 5/6?

• 1/6 + 4/6

• 2/6 + 3/6

• 1/6 + 2/6 + 2/6

• 1/6 + 1/6 + 3/6

What is the sum of 1/6 + 1/6 + 3/6?

• 6/6

• 4/6

• 5/6

• 1/6

How can 7/8 be decomposed?

• 3/8 + 4/8

• 2/8 + 5/8

• 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8

• 6/8 + 1/8

What is another method to decompose 7/8?

• 7/8 + 0/8

• 2/8 + 2/8 + 3/8

• 1/8 + 6/8

• 3/8 + 4/8