Fractions, Decimals, and Percentages: A Grade 5 Challenge

1. Sarah has 3/4 of a pizza left. If she eats 1/2 of what she has, how much of the whole pizza will she have eaten in fractions, decimals, and percentages?

• 1/4, 0.25, 25%

• 5/8, 0.625, 62.5%

• 3/8, 0.375, 37.5%

• 1/2, 0.5, 50%

2. A class of 20 students has 12 who prefer chocolate ice cream. What fraction, decimal, and percentage of the class prefers chocolate?

• 5/10, 0.5, 50%

• 1/4, 0.25, 25%

• 2/3, 0.67, 67%

• Fraction: 3/5, Decimal: 0.6, Percentage: 60%

3. If 1/3 of a garden is planted with tomatoes and 1/6 is planted with cucumbers, which fraction represents the larger area, and what are their equivalent decimals and percentages?

• 1/3 is smaller than 1/6.

• 1/6 is larger than 1/3.

• Both fractions are equal in area.

• 1/3 is larger than 1/6.

4. A recipe calls for 2/5 of a cup of sugar. If you want to make 3 batches, how much sugar do you need in fractions, decimals, and percentages of a cup?

• 6/5 cups, 1.2 cups, 120%

• 2 cups

• 1/2 cups

• 150%

5. A store is having a sale where 25% off is equivalent to a discount of $10. What is the original price of the item in fractions and decimals?

• 30 (decimal), 30/1 (fraction)

• 50 (decimal), 50/1 (fraction)

• 20 (decimal), 20/1 (fraction)

• 40 (decimal), 40/1 (fraction)

6. If 4/5 of a class passed a math test, what percentage of the class did not pass? Show your work in fractions and decimals.

• 10%

• 30%

• 50%

• 20%

7. A fruit basket contains 10 apples, 5 bananas, and 5 oranges. What fraction, decimal, and percentage of the fruits are apples?

• Fraction: 1/3

• Decimal: 0.25

• Percentage: 25%

• Fraction: 1/2, Decimal: 0.5, Percentage: 50%

8. If 60% of a book is read, what fraction of the book is left to read? Convert this fraction into a decimal and percentage.

• Fraction left: 1/2, Decimal: 0.5, Percentage: 50%

• Fraction left: 2/5, Decimal: 0.4, Percentage: 40%

• Fraction left: 3/10, Decimal: 0.3, Percentage: 30%

• Fraction left: 1/4, Decimal: 0.25, Percentage: 25%

9. A recipe requires 3/8 of a cup of oil. If you double the recipe, how much oil do you need in fractions, decimals, and percentages?

• 1 cup of oil

• 2/3 cup of oil

• 3/4 cup of oil, 0.75, 75%

• 50%

10. In a survey, 15 out of 50 people prefer tea over coffee. What fraction, decimal, and percentage of the surveyed people prefer tea?

• Percentage: 40%

• Fraction: 3/10, Decimal: 0.3, Percentage: 30%

• Decimal: 0.4

• Fraction: 2/5