MathsFreePrintable

Fractions to Decimals

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Fractions to Decimals worksheet preview

Fractions to Decimals

Converting fractions to decimals illustration

🎯 WALT: Convert simple fractions to decimals using division

Success Criteria:

• I can divide the numerator by the denominator

• I can convert fractions with denominators of 10 and 100

• I can identify when a decimal repeats

1. Convert these fractions to decimals by dividing:

a) 1/2 = 1 ÷ 2 = _______

b) 3/4 = 3 ÷ 4 = _______

c) 1/5 = 1 ÷ 5 = _______

d) 7/10 = 7 ÷ 10 = _______

2. Which of these fractions equals 0.25?

1/2

1/4

1/8

2/5

3. Convert these fractions by making equivalent fractions with denominators of 10 or 100:

a) 3/5 = ___/10 = _______

b) 7/20 = ___/100 = _______

c) 9/50 = ___/100 = _______

✏️ Problem Solving & Mixed Practice

4. Sarah ate 3/8 of a pizza. What decimal shows how much pizza she ate?
5. True or False? Tick the correct statements:

1/3 = 0.333... (recurring)

4/5 = 0.8

1/6 = 0.6

3/10 = 0.3

6. A recipe calls for 5/8 of a litre of milk. Express this as a decimal:

🌟 Extension Challenge

7. For Advanced Learners: Convert these improper fractions to decimals:

a) 7/4 = _______

b) 11/8 = _______

c) 9/5 = _______

8. Investigation: Use a calculator to find these recurring decimals and write the pattern:

a) 1/3 = 0. ________________

b) 2/9 = 0. ________________

c) 5/6 = 0. ________________

9. Real-world Application: A football team won 7 out of 12 matches. Express their win rate as a decimal (round to 2 decimal places):

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