Introduction to Percentages and Fractions

Hello, Year 5! Today, we are going to learn about writing percentages as fractions. This will help you understand how to compare different amounts and make calculations easier. Let’s dive in!

What is a Percentage?

A percentage is a way to express a number as a part of 100. For example, if we say 25%, it means 25 out of 100.

What is a Fraction?

A fraction represents a part of a whole. It is written as two numbers: one on top (the numerator) and one on the bottom (the denominator). For example, the fraction \frac{1}{2}

means 1 part out of 2.

Writing Percentages as Fractions

Now, let’s see how to write percentages as fractions:

  1. Start with the percentage you want to convert. For example, let’s take 25%.
  2. Write it as a fraction. Since percentages are out of 100, you can write 25% as \frac{25}{100}
    .
  3. Simplify the fraction if possible. To do this, find the largest number that can divide both the top and bottom. For 25 and 100, you can divide both by 25. So, \frac{25}{100}
    simplifies to \frac{1}{4}
    .

Key Rules

  • Always write the percentage as a fraction over 100.
  • Then, simplify the fraction if you can.
  • Remember: not all fractions can be simplified!

Tips and Tricks

  • To simplify, find the greatest common divisor (GCD), which is the largest number that can divide both numbers.
  • Practice with everyday examples, like percentages off in sales or how many students in your class like a certain snack!

Examples

  1. Convert 50% to a fraction:
    • Write as a fraction: \frac{50}{100}
    • Simplify: \frac{50 ÷ 50}{100 ÷ 50} = \frac{1}{2}
  2. Convert 10% to a fraction:
    • Write as a fraction: \frac{10}{100}
    • Simplify: \frac{10 ÷ 10}{100 ÷ 10} = \frac{1}{10}

Let’s Practice!

Now, let’s try some questions together!

Easy Level Questions

  1. Convert 20% to a fraction.
  2. Convert 30% to a fraction.
  3. Convert 40% to a fraction.
  4. Convert 70% to a fraction.
  5. Convert 90% to a fraction.
  6. Convert 60% to a fraction.
  7. Convert 80% to a fraction.
  8. Convert 50% to a fraction.
  9. Convert 10% to a fraction.
  10. Convert 5% to a fraction.

Medium Level Questions

  1. Convert 25% to a fraction.
  2. Convert 15% to a fraction.
  3. Convert 35% to a fraction.
  4. Convert 45% to a fraction.
  5. Convert 55% to a fraction.
  6. Convert 65% to a fraction.
  7. Convert 75% to a fraction.
  8. Convert 85% to a fraction.
  9. Convert 95% to a fraction.
  10. Convert 12% to a fraction.

Hard Level Questions

  1. Convert 22% to a fraction.
  2. Convert 38% to a fraction.
  3. Convert 52% to a fraction.
  4. Convert 67% to a fraction.
  5. Convert 83% to a fraction.
  6. Convert 27% to a fraction.
  7. Convert 41% to a fraction.
  8. Convert 56% to a fraction.
  9. Convert 73% to a fraction.
  10. Convert 99% to a fraction.

Answers and Explanations

Easy Level Answers

  1. \frac{20}{100} = \frac{1}{5}
  2. \frac{30}{100} = \frac{3}{10}
  3. \frac{40}{100} = \frac{2}{5}
  4. \frac{70}{100} = \frac{7}{10}
  5. \frac{90}{100} = \frac{9}{10}
  6. \frac{60}{100} = \frac{3}{5}
  7. \frac{80}{100} = \frac{4}{5}
  8. \frac{50}{100} = \frac{1}{2}
  9. \frac{10}{100} = \frac{1}{10}
  10. \frac{5}{100} = \frac{1}{20}

Medium Level Answers

  1. \frac{25}{100} = \frac{1}{4}
  2. \frac{15}{100} = \frac{3}{20}
  3. \frac{35}{100} = \frac{7}{20}
  4. \frac{45}{100} = \frac{9}{20}
  5. \frac{55}{100} = \frac{11}{20}
  6. \frac{65}{100} = \frac{13}{20}
  7. \frac{75}{100} = \frac{3}{4}
  8. \frac{85}{100} = \frac{17}{20}
  9. \frac{95}{100} = \frac{19}{20}
  10. \frac{12}{100} = \frac{3}{25}

Hard Level Answers

  1. \frac{22}{100} = \frac{11}{50}
  2. \frac{38}{100} = \frac{19}{50}
  3. \frac{52}{100} = \frac{13}{25}
  4. \frac{67}{100} = \frac{67}{100}
    (already simplified)
  5. \frac{83}{100} = \frac{83}{100}
    (already simplified)
  6. \frac{27}{100} = \frac{27}{100}
    (already simplified)
  7. \frac{41}{100} = \frac{41}{100}
    (already simplified)
  8. \frac{56}{100} = \frac{14}{25}
  9. \frac{73}{100} = \frac{73}{100}
    (already simplified)
  10. \frac{99}{100} = \frac{99}{100}
    (already simplified)

Conclusion

Great job today, Year 5! You’ve learned how to write percentages as fractions. Keep practicing, and soon you will be a pro at converting and simplifying fractions! Remember to use these rules and tips to help you along the way. Happy learning!