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Understanding Fraction Parts

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Understanding Fraction Parts

Halves, Quarters, Eighths & Sixteenths

Fractions illustration

🔵 Part 1: Identifying Fractions

Learning Objective: Understand how a whole is partitioned equally into halves, quarters, eighths, and sixteenths.

1. A shape is divided into 2 equal parts. What fraction does each part represent?

1/4

1/2

1/8

1/16

2. A rectangle is divided into 8 equal parts and 3 parts are shaded. Which fraction represents the shaded area?

3/4

3/16

3/8

8/3

3. A pizza is cut into 16 equal slices. Mia eats 4 slices. Which fractions are equal to the amount Mia ate? (Select ALL that apply)

4/16

1/4

2/8

1/2

4. Which of the following correctly shows how a whole is partitioned into quarters?

Divided into 2 equal parts

Divided into 4 equal parts

Divided into 8 equal parts

Divided into 3 equal parts

✏️ Part 2: Shading and Calculating

5. The square below is divided into 16 equal parts. Shade 8/16 of the square. Then write an equivalent fraction using halves.

8/16 is the same as _____

6. Draw a rectangle and divide it into eighths. Shade 2/8. Write an equivalent fraction using quarters.

2/8 is the same as _____

7. Fill in the missing numbers to complete these equivalent fractions:

a) 1/2 = ___/4 = ___/8 = ___/16

b) 1/4 = ___/8 = ___/16

c) 3/4 = ___/8 = ___/16

8. A ribbon is 16 cm long. It is cut into equal pieces of 2 cm each. What fraction of the whole ribbon is one piece?

Answer: _____

⭐ Part 3: Challenge

9. Jake says: "1/2 is always bigger than 1/8 because 2 is smaller than 8." Do you agree? Explain your thinking using what you know about equal partitions.
10. Lena has a chocolate bar divided into 16 equal pieces. She gives her brother 1/4, her sister 3/8, and keeps the rest for herself. How many pieces does Lena keep? Show your working.

Lena keeps _____ pieces, which is _____ /16 of the whole bar.

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