Answers to exercises on repeating decimals


1. Multiply by 10, since the repeating pattern is just one digit. Answer: 34/9

2. Multiply by 10, since the repeating pattern is just one digit. Remember to re-express your answer so that it is the quotient of two whole numbers. Answer:339/90 (or 113/30 in reduced form)

3. Multiply by 100, since the repeating pattern is two digits. Answer: 343/99

4. Multiply by 100, since the repeating pattern is two digits. Remember to re-express your answer so that it is the quotient of two whole numbers. Answer: 3511/990

5. Multiply by 1000, since the repeating pattern is three digits. Answer:4119/999

6. Multiply by 1000, since the repeating pattern is three digits. Remember to re-express your answer so that it is the quotient of two whole numbers. Answer: 45078/9990