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Fractions to Decimals Exploration

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Fractions to Decimals Exploration worksheet preview

Fractions to Decimals Exploration

Fractions and decimals illustration

🔢 Part 1: Converting Fractions to Decimals

To convert a fraction to a decimal, divide the numerator by the denominator. For example: 1 ÷ 4 = 0.25

1. Convert these fractions to decimals. Show your working in the box provided.

a) 1/2 = _______

b) 3/4 = _______

c) 7/10 = _______

d) 3/5 = _______

e) 5/8 = _______

2. Match each fraction to its decimal equivalent by writing the correct letter in the blank.
1/4
2/5
9/10
1/8
A. 0.9
B. 0.125
C. 0.25
D. 0.4
3. Which of the following is equal to 0.6? Select ONE.

6/100

3/5

6/1000

2/3

🔍 Part 2: Spot the Pattern

Explore what happens when you convert fractions with the same denominator.

4. Complete the table by converting each fraction to a decimal.

1/10 = _______     2/10 = _______     3/10 = _______     4/10 = _______     5/10 = _______

5. What pattern do you notice in the decimals above?
6. Using the pattern you found, predict what 8/10 and 10/10 will be as decimals without dividing.

8/10 = _______     10/10 = _______

7. Now try the same with fifths. Complete the pattern:

1/5 = _______     2/5 = _______     3/5 = _______     4/5 = _______     5/5 = _______

8. What do you notice about fractions with a denominator of 5 compared to fractions with a denominator of 10?

🌏 Part 3: Real-World Challenges

9. Aroha ran 3/4 of a kilometre and Ben ran 0.8 km. Who ran further? Show your working and explain your answer.
10. At a school market, a pie costs $3.50. Tama has saved 7/10 of the cost. How much has he saved? Give your answer as a decimal.

Tama has saved $________

11. A recipe uses 3/8 of a kilogram of flour. Write this as a decimal. Then explain in your own words how you worked it out.
12. Challenge: Hemi says "1/3 = 0.3 because 1 ÷ 3 = 0.3." Do you agree? Try dividing 1 ÷ 3 on paper or a calculator and explain what you find.

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