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Fractions to Decimals Worksheet

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Fractions to Decimals Worksheet worksheet preview
Fractions to Decimals Worksheet

Fractions to Decimals Worksheet

Fractions and decimals illustration

📚 Learning Objective

We are learning to: Understand the relationship between fractions and decimals by visualising fractions as parts of a whole and converting them into decimal notation.

Success Criteria:

✓ I can shade parts of a strip to represent a fraction

✓ I can write the decimal equivalent of a fraction

✓ I can explain the relationship between fractions and decimals

🎨 Part 1: Shade and Convert

Instructions: Each strip below is divided into 10 equal parts. Shade the correct number of parts to show each fraction, then write the decimal equivalent.

1. Shade 3/10 of the strip:

Decimal equivalent: 3/10 = _______

2. Shade 7/10 of the strip:

Decimal equivalent: 7/10 = _______

3. Shade 1/10 of the strip:

Decimal equivalent: 1/10 = _______

4. Shade 9/10 of the strip:

Decimal equivalent: 9/10 = _______

🔢 Part 2: Convert These Fractions

Instructions: Convert these fractions to decimals. Show your working in the boxes provided.

5. 5/10 = _______
6. 2/10 = _______
7. 8/10 = _______
8. 10/10 = _______

🎯 Part 3: Multiple Choice

Instructions: Circle the correct decimal for each fraction.

9. What is 4/10 as a decimal?

0.4

4.0

0.04

40

10. What is 6/10 as a decimal?

0.06

6.0

0.6

60

🌟 Part 4: Challenge Questions

11. If you have 0.3 metres of ribbon, what fraction of a metre do you have?
12. Sarah ate 0.7 of a chocolate bar. What fraction did she eat?
13. Explain in your own words how fractions and decimals are related:

📋 Teacher Notes

Support (for students needing extra help):

• Provide physical fraction strips or manipulatives

• Use colour-coded highlighting for tenths

• Start with simpler fractions like 1/10, 5/10

• Allow use of number lines

Extension (for advanced students):

• Convert fractions with denominators of 100 (hundredths)

• Explore equivalent fractions (e.g., 1/2 = 5/10 = 0.5)

• Create their own fraction to decimal problems

• Investigate fractions that create recurring decimals

Colour-Coding Instructions:

• Use blue for shading tenths

• Use green for writing decimals

• Use red for checking answers

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