Introduction

Hello, Year 5! Today we are going to learn how to convert percentages into fractions. This is an important skill that will help you in maths and in everyday life. Let’s break it down into simple steps.

What is a Percentage?

A percentage is a way of expressing a number as a part of 100. For example, if you have 25 out of 100, we say that is 25%. It means 25 parts out of 100 equal parts.

Converting Percentages to Fractions

Step 1: Write the Percentage as a Fraction

To convert a percentage to a fraction, you can follow these steps:

  1. Write the percentage number over 100. For instance, if you have 40%, you write it as: \frac{40}{100}

Step 2: Simplify the Fraction

  1. Simplify the fraction if possible. To simplify, you need to find a common divisor for the top (numerator) and bottom (denominator) of the fraction.For example, simplify \frac{40}{100} :
    • Both 40 and 100 can be divided by 20.
    • So, \frac{40 \div 20}{100 \div 20} = \frac{2}{5} .

Key Rules

  1. Always write the percentage over 100.
  2. Simplify the fraction if you can.
  3. Remember that some percentages are already simple, like 50% which is \frac{50}{100} = \frac{1}{2} .

Tips and Tricks

  • Common Percentages: Remember that 25% is \frac{1}{4} , 50% is \frac{1}{2} , and 75% is \frac{3}{4} .
  • Practice Makes Perfect: The more you practice, the easier it gets!

Examples

  1. Convert 30% to a fraction:
    • Write it as \frac{30}{100} .
    • Simplify: \frac{30 \div 10}{100 \div 10} = \frac{3}{10} .
  2. Convert 80% to a fraction:
    • Write it as \frac{80}{100} .
    • Simplify: \frac{80 \div 20}{100 \div 20} = \frac{4}{5} .

Practice Questions

Easy Level (20 Questions)

  1. Convert 10% to a fraction.
  2. Convert 20% to a fraction.
  3. Convert 30% to a fraction.
  4. Convert 50% to a fraction.
  5. Convert 60% to a fraction.
  6. Convert 70% to a fraction.
  7. Convert 80% to a fraction.
  8. Convert 90% to a fraction.
  9. Convert 0% to a fraction.
  10. Convert 25% to a fraction.
  11. Convert 15% to a fraction.
  12. Convert 5% to a fraction.
  13. Convert 45% to a fraction.
  14. Convert 55% to a fraction.
  15. Convert 35% to a fraction.
  16. Convert 75% to a fraction.
  17. Convert 40% to a fraction.
  18. Convert 85% to a fraction.
  19. Convert 95% to a fraction.
  20. Convert 100% to a fraction.

Medium Level (20 Questions)

  1. Convert 12% to a fraction.
  2. Convert 18% to a fraction.
  3. Convert 22% to a fraction.
  4. Convert 33% to a fraction.
  5. Convert 67% to a fraction.
  6. Convert 42% to a fraction.
  7. Convert 57% to a fraction.
  8. Convert 62% to a fraction.
  9. Convert 73% to a fraction.
  10. Convert 88% to a fraction.
  11. Convert 29% to a fraction.
  12. Convert 39% to a fraction.
  13. Convert 49% to a fraction.
  14. Convert 66% to a fraction.
  15. Convert 83% to a fraction.
  16. Convert 92% to a fraction.
  17. Convert 11% to a fraction.
  18. Convert 21% to a fraction.
  19. Convert 37% to a fraction.
  20. Convert 48% to a fraction.

Hard Level (20 Questions)

  1. Convert 13% to a fraction.
  2. Convert 27% to a fraction.
  3. Convert 34% to a fraction.
  4. Convert 46% to a fraction.
  5. Convert 53% to a fraction.
  6. Convert 64% to a fraction.
  7. Convert 72% to a fraction.
  8. Convert 78% to a fraction.
  9. Convert 84% to a fraction.
  10. Convert 91% to a fraction.
  11. Convert 14% to a fraction.
  12. Convert 26% to a fraction.
  13. Convert 35% to a fraction.
  14. Convert 41% to a fraction.
  15. Convert 54% to a fraction.
  16. Convert 61% to a fraction.
  17. Convert 74% to a fraction.
  18. Convert 82% to a fraction.
  19. Convert 93% to a fraction.
  20. Convert 99% to a fraction.

Answers and Explanations

Easy Level Answers

  1. \frac{10}{100} = \frac{1}{10}
  2. \frac{20}{100} = \frac{1}{5}
  3. \frac{30}{100} = \frac{3}{10}
  4. \frac{50}{100} = \frac{1}{2}
  5. \frac{60}{100} = \frac{3}{5}
  6. \frac{70}{100} = \frac{7}{10}
  7. \frac{80}{100} = \frac{4}{5}
  8. \frac{90}{100} = \frac{9}{10}
  9. \frac{0}{100} = 0
  10. \frac{25}{100} = \frac{1}{4}
  11. \frac{15}{100} = \frac{3}{20}
  12. \frac{5}{100} = \frac{1}{20}
  13. \frac{45}{100} = \frac{9}{20}
  14. \frac{55}{100} = \frac{11}{20}
  15. \frac{35}{100} = \frac{7}{20}
  16. \frac{75}{100} = \frac{3}{4}
  17. \frac{40}{100} = \frac{2}{5}
  18. \frac{85}{100} = \frac{17}{20}
  19. \frac{95}{100} = \frac{19}{20}
  20. \frac{100}{100} = 1

Medium Level Answers

  1. \frac{12}{100} = \frac{3}{25}
  2. \frac{18}{100} = \frac{9}{50}
  3. \frac{22}{100} = \frac{11}{50}
  4. \frac{33}{100} = \frac{33}{100}
  5. \frac{67}{100} = \frac{67}{100}
  6. \frac{42}{100} = \frac{21}{50}
  7. \frac{57}{100} = \frac{57}{100}
  8. \frac{62}{100} = \frac{31}{50}
  9. \frac{73}{100} = \frac{73}{100}
  10. \frac{88}{100} = \frac{22}{25}
  11. \frac{29}{100} = \frac{29}{100}
  12. \frac{39}{100} = \frac{39}{100}
  13. \frac{49}{100} = \frac{49}{100}
  14. \frac{66}{100} = \frac{33}{50}
  15. \frac{83}{100} = \frac{83}{100}
  16. \frac{92}{100} = \frac{23}{25}
  17. \frac{11}{100} = \frac{11}{100}
  18. \frac{21}{100} = \frac{21}{100}
  19. \frac{37}{100} = \frac{37}{100}
  20. \frac{48}{100} = \frac{12}{25}

Hard Level Answers

  1. \frac{13}{100} = \frac{13}{100}
  2. \frac{27}{100} = \frac{27}{100}
  3. \frac{34}{100} = \frac{17}{50}
  4. \frac{46}{100} = \frac{23}{50}
  5. \frac{53}{100} = \frac{53}{100}
  6. \frac{64}{100} = \frac{16}{25}
  7. \frac{72}{100} = \frac{18}{25}
  8. $$ \frac{78}{100} = \frac{39}{50}