Mastering Repeating Decimals: Patterns and Conversions

1. Sarah is measuring a piece of fabric that is 2.3 meters long. If she needs to cut it into pieces that are each 0.77 meters long, how many pieces can she cut? Convert the repeating decimal to a fraction to help with your calculations.

• 2

• 1

• 3

• 4

2. A store sells a special type of candy for $1.33 per pound. If you buy 3 pounds, how much will you spend? Identify the decimal pattern in the price and calculate the total cost.

• $4.00

• $2.99

• $3.99

• $3.50

3. A car travels 1.2 miles for every 0.4 gallons of gas. If the car has 2.4 gallons of gas, how many miles can it travel? Convert the repeating decimal to a fraction to find the answer.

• 7.2 miles

• 5.4 miles

• 10.8 miles

• 3.6 miles

4. Emily is saving money for a new bike. She saves $0.666... each week. How much will she have saved after 5 weeks? Identify the decimal pattern and calculate her total savings.

• 2.666...

• 4.000...

• 3.333...

• 5.000...

5. A recipe calls for 0.25 liters of milk, but you only have a container that holds 0.333... liters. How many containers do you need to hold the milk? Convert the repeating decimal to a fraction to assist in your calculations.

• 1

• 0

• 3

• 2

6. A video game costs $59.99, but there is a 10% discount. What is the final price after the discount? Identify the decimal pattern in the discount and calculate the final price.

• $55.99

• $53.99

• $49.99

• $59.00

7. A cyclist rides at a speed of 15.5 miles per hour. If he rides for 2.3 hours, how far does he travel? Convert the repeating decimal to a fraction to find the total distance.

• 34 1/2 miles

• 35 13/20 miles

• 28 miles

• 40 miles

8. A book costs $12.99, and you want to buy 4 copies. What will be the total cost? Identify the decimal pattern in the price and calculate the total amount spent.

• $52.99

• $45.96

• $51.96

• $48.00

9. A swimming pool is filled with water at a rate of 0.75 liters per minute. How many liters will be filled in 1.333... hours? Convert the repeating decimal to a fraction to assist in your calculations.

• 75 liters

• 45 liters

• 90 liters

• 60 liters

10. A pizza is cut into 8 equal slices, and each slice has a value of $2.25. If you buy 3 slices, how much do you spend? Identify the decimal pattern in the price and calculate the total cost.

• $5.50

• $8.00

• $4.50

• $6.75