Grade 4 Mathematics Quiz

Decompose the fraction 3/4 as a sum of unit fractions using a tape diagram.

• 1/2 + 1/4

• 2/4 + 1/4

• 1/3 + 1/4

• 1/4 + 1/4 + 1/4

Explain how to decompose the fraction 5/6 as a sum of unit fractions using a tape diagram.

• 3/6 + 2/6

• 4/6 + 1/6

• 1/6 + 1/6 + 1/6 + 1/6 + 1/6

• 2/6 + 2/6 + 1/6

What is the sum of the unit fractions 1/3 and 1/6? Use a tape diagram to illustrate.

• 3/5

• 2/3

• 1/4

• 1/2

Find the sum of the unit fractions 1/5 and 1/8 using a tape diagram to show your work.

• 5/8

• 1/13

• 2/13

• 3/40

Draw a tape diagram to represent the fraction 2/3 and explain how it can be decomposed into unit fractions.

• Draw a tape divided into 2 equal parts and shade 1 of those parts. To decompose 2/3 into unit fractions, it can be represented as 1/2.

• Draw a tape divided into 3 equal parts and shade 1 of those parts. To decompose 2/3 into unit fractions, it can be represented as 1/3.

• Draw a tape divided into 3 equal parts and shade 2 of those parts. To decompose 2/3 into unit fractions, it can be represented as 1/3 + 1/3.

• Draw a tape divided into 4 equal parts and shade 2 of those parts. To decompose 2/3 into unit fractions, it can be represented as 1/4 + 1/4.

Use a tape diagram to show how the fraction 4/5 can be represented as a sum of unit fractions.

• 1/5 + 1/5 + 1/5 + 1/5

• 1/4 + 1/4 + 1/4 + 1/4 + 1/4

• 2/5 + 2/5

• 3/5 + 1/5

What is a unit fraction? Provide an example and explain its significance in fraction decomposition.

• A fraction where the numerator is 0

• A fraction where the numerator is greater than the denominator

• A fraction where the numerator is a whole number

• A fraction where the numerator is 1

Explain the concept of a unit fraction and its role in representing fractions using tape diagrams.

• A unit fraction is a fraction where the numerator is 0.

• A unit fraction is a fraction where the numerator is equal to the denominator.

• A unit fraction is a fraction where the numerator is 1.

• A unit fraction is a fraction where the numerator is greater than the denominator.

Create a tape diagram to represent the fraction 3/7 and explain how it can be decomposed into unit fractions.

• Draw a circle diagram instead of a tape diagram

• Use a bar graph to represent the fraction

• Explain how to decompose the fraction 3/7 into mixed numbers

• Tape diagram and decomposition explanation provided

Illustrate the process of decomposing the fraction 5/8 as a sum of unit fractions using a tape diagram.

• 5/8 = 1/3 + 1/3 + 1/3

• 5/8 = 1/4 + 1/4

• 5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8

• 5/8 = 1/2 + 1/2