Fractions to Decimals

Name:

Date:

📚 Part 1: WALT, Success Criteria & Multiple Choice

WALT: We are learning to convert fractions and ratios into decimals and then to percentages.

Success criteria: I can divide a numerator by a denominator, write the decimal correctly (including repeating or terminating), and convert decimals to percentages by multiplying by 100. I can use a calculator and show my working.

Dyslexia-friendly tip: Read each number aloud, underline the numerator and denominator, and use a ruler to follow the line of numbers when dividing.

1. Convert 3/5 to a decimal:

0.3

0.6

1.5

6.0

2. Convert 7/8 to a decimal:

0.875

0.78

0.7̅

0.0875

3. Convert the ratio 2:5 into a decimal:

0.2

0.4

2.5

4.0

4. Check all that are terminating decimals when converted from the fraction:

1/3

1/4

3/8

2/5

✏️ Part 2: Short Answers & Real-world Problems

5. Convert 4/25 to a decimal. Show your working:

6. Convert 13/20 to a decimal and then to a percentage:

7. Real-world: A jacket costs $120 and is reduced by 15%. Work out the sale price. Show steps (convert the percentage to a decimal).

8. Convert 7/40 to a decimal. Then write the result as a percentage:

9. Extension (optional): Convert 5/6 to a decimal. Give the answer to three decimal places and state whether it is a terminating or repeating decimal.

Exit Ticket: In one short sentence each, write the process for: a) converting a fraction to a decimal, b) converting a ratio to a decimal, c) converting a decimal to a percentage.

Differentiation: For students needing support, work on simpler denominators (2, 4, 5, 10) and use a calculator to check. Extension: try improper fractions and repeating decimals, or convert answers into $ amounts for multi-step shopping problems.