Mastering Fractions, Decimals, and Percents in 5th Grade

1. Sarah has 3/4 of a pizza left. If she eats 1/4 of it, what fraction of the pizza does she have left? Convert that fraction to a decimal and then to a percent.

• 9/16 (0.5625, 56.25%)

• 1/2 (0.5, 50%)

• 5/8 (0.625, 62.5%)

• 3/8 (0.375, 37.5%)

2. A school has 120 students, and 1/5 of them are in the band. How many students are in the band? Convert the fraction of students in the band to a decimal and then to a percent.

• 24 students in the band, which is 0.2 or 20%.

• 48 students in the band, which is 0.4 or 40%.

• 30 students in the band, which is 0.25 or 25%.

• 12 students in the band, which is 0.1 or 10%.

3. Tom ran 2/5 of a mile in a race. What is this distance in decimal form? Convert that decimal to a percent to show how much of a mile he ran.

• 0.2 miles, 20% of a mile

• 0.3 miles, 30% of a mile

• 0.4 miles, 40% of a mile

• 0.5 miles, 50% of a mile

4. A recipe calls for 1/2 cup of sugar. If you use 0.5 cups instead, what percent of the recipe's sugar requirement does that fulfill?

• 50%

• 200%

• 75%

• 100%

5. Lisa scored 3/8 on her math test. What is her score in decimal form? Convert that decimal to a percent to find out how she did on the test.

• 37.5%

• 25%

• 50%

• 60%

6. A fruit basket has 2/3 of its fruits as apples. If there are 15 fruits in total, how many apples are there? Convert the fraction of apples to a decimal and then to a percent.

• 5 apples, 0.50 as a decimal, 50% as a percent

• 12 apples, 0.80 as a decimal, 80% as a percent

• 10 apples, 0.67 as a decimal, 67% as a percent

• 8 apples, 0.53 as a decimal, 53% as a percent

7. In a class of 30 students, 1/6 of them are wearing glasses. How many students are wearing glasses? Convert that fraction to a decimal and then to a percent.

• 3 students wearing glasses, 0.1 as a decimal, 10% as a percent.

• 5 students wearing glasses, 0.1667 as a decimal, 16.67% as a percent.

• 4 students wearing glasses, 0.25 as a decimal, 25% as a percent.

• 6 students wearing glasses, 0.2 as a decimal, 20% as a percent.

8. A car can travel 3/10 of a tank of gas before needing a refill. If the tank holds 15 gallons, how many gallons can the car travel? Convert that fraction to a decimal and then to a percent of the tank.

• 4.5 gallons, 0.3, 30%

• 5 gallons, 0.5, 50%

• 3 gallons, 0.2, 20%

• 2.5 gallons, 0.25, 25%

9. During a sale, 1/4 of the items are discounted. If there are 80 items in total, how many items are discounted? Convert the fraction of discounted items to a decimal and then to a percent.

• 20 items discounted, 0.25 as a decimal, 25% as a percent.

• 25 items discounted, 0.20 as a decimal, 20% as a percent.

• 30 items discounted, 0.30 as a decimal, 30% as a percent.

• 15 items discounted, 0.15 as a decimal, 15% as a percent.

10. A gardener planted 5/12 of his garden with flowers. If the garden is 24 square feet, how many square feet are planted with flowers? Convert that fraction to a decimal and then to a percent of the total garden area.

• 10 square feet, 0.4167, 41.67%

• 6 square feet, 0.2500, 25.00%

• 12 square feet, 0.5000, 50.00%

• 8 square feet, 0.3333, 33.33%