Understanding 10% as a Fraction

Hello, Year 5! Today, we are going to learn about fractions of 10%.

What is 10%?

When we say 10%, we mean 10 out of every 100. It’s a way to describe a part of a whole.

How to Convert 10% to a Fraction

To convert 10% to a fraction:

  1. Remember that percent means “out of 100.”
  2. So, 10% can be written as:\frac{10}{100}
  3. Now, we can simplify it. Both the top (numerator) and the bottom (denominator) can be divided by 10:\frac{10 \div 10}{100 \div 10} = \frac{1}{10}

So, 10% is the same as the fraction \frac{1}{10}.

Finding Fractions of 10%

Now, let’s see how we can find different fractions of 10%.

Example 1: What is 50% of 10%?

  1. We know that 10% is \frac{1}{10}.
  2. To find 50% of that, we can multiply:\frac{1}{10} \times \frac{50}{100}
  3. Simplifying this gives us:\frac{1 \times 50}{10 \times 100} = \frac{50}{1000} = \frac{1}{20}

So, 50% of 10% is \frac{1}{20}.

Example 2: What is 25% of 10%?

  1. Again, we start with 10% as \frac{1}{10}.
  2. This time we multiply by 25%:\frac{1}{10} \times \frac{25}{100}
  3. Simplifying gives:\frac{1 \times 25}{10 \times 100} = \frac{25}{1000} = \frac{1}{40}

So, 25% of 10% is \frac{1}{40}.

Key Rules, Tips, and Tricks

  • Remember: 10% means \frac{1}{10}.
  • To find a fraction of 10%, multiply the fraction you want by \frac{1}{10}.
  • Always simplify your fractions if you can!
  • Visual aids: Use pie charts or blocks to see how parts make up the whole.

Questions for Practice

Easy Level Questions

  1. What is 10% of 100?
  2. What is 10% of 50?
  3. What is 10% of 10?
  4. What is 10% of 30?
  5. What is 10% of 90?
  6. What is 10% of 200?
  7. What is 10% of 25?
  8. What is 10% of 150?
  9. What is 10% of 70?
  10. What is 10% of 80?
  11. What is 10% of 40?
  12. What is 10% of 60?
  13. What is 10% of 15?
  14. What is 10% of 45?
  15. What is 10% of 20?
  16. What is 10% of 500?
  17. What is 10% of 75?
  18. What is 10% of 1?
  19. What is 10% of 3?
  20. What is 10% of 4?

Medium Level Questions

  1. What is 20% of 10%?
  2. What is 30% of 10%?
  3. What is 40% of 10%?
  4. What is 50% of 10%?
  5. What is 75% of 10%?
  6. What is 1/2 of 10%?
  7. What is 1/4 of 10%?
  8. What is 60% of 10%?
  9. What is 80% of 10%?
  10. What is 90% of 10%?
  11. What is 3/4 of 10%?
  12. What is 2/5 of 10%?
  13. What is 5/10 of 10%?
  14. What is 1/10 of 10%?
  15. What is 10/100 of 10%?
  16. What is 10% of 250?
  17. What is 10% of 400?
  18. What is 10% of 8?
  19. What is 10% of 12?
  20. What is 10% of 5000?

Hard Level Questions

  1. What is 15% of 10%?
  2. What is 35% of 10%?
  3. What is 55% of 10%?
  4. What is 65% of 10%?
  5. What is 85% of 10%?
  6. What is 1/8 of 10%?
  7. What is 7/10 of 10%?
  8. What is 9/10 of 10%?
  9. What is 4/10 of 10%?
  10. What is 6/10 of 10%?
  11. What is 11% of 10%?
  12. What is 9% of 10%?
  13. What is 2/3 of 10%?
  14. What is 3/5 of 10%?
  15. What is 1/3 of 10%?
  16. What is 1% of 10%?
  17. What is 0.5% of 10%?
  18. What is 25% of 10%?
  19. What is 12.5% of 10%?
  20. What is 30% of 10%?

Answers and Explanations

Easy Level Answers

  1. 10
  2. 5
  3. 1
  4. 3
  5. 9
  6. 20
  7. 2.5
  8. 15
  9. 7
  10. 8
  11. 4
  12. 6
  13. 1.5
  14. 4.5
  15. 2
  16. 50
  17. 7.5
  18. 0.1
  19. 0.3
  20. 0.4

Medium Level Answers

  1. \frac{1}{50}
  2. \frac{3}{100}
  3. \frac{2}{5}
  4. \frac{1}{20}
  5. \frac{3}{40}
  6. \frac{1}{20}
  7. \frac{1}{40}
  8. \frac{3}{50}
  9. \frac{4}{50}
  10. \frac{9}{100}
  11. \frac{3}{40}
  12. \frac{1}{25}
  13. \frac{1}{20}
  14. \frac{1}{20}
  15. \frac{1}{100}
  16. 25
  17. 40
  18. 0.8
  19. 1.2
  20. 500

Hard Level Answers

  1. \frac{3}{200}
  2. \frac{7}{200}
  3. \frac{11}{200}
  4. \frac{13}{200}
  5. \frac{17}{200}
  6. \frac{1}{80}
  7. \frac{7}{100}
  8. \frac{9}{100}
  9. \frac{2}{50}
  10. \frac{3}{50}
  11. \frac{11}{100}
  12. \frac{9}{1000}
  13. \frac{1}{30}
  14. \frac{3}{50}
  15. \frac{1}{100}
  16. \frac{1}{1000}
  17. \frac{1}{2000}
  18. \frac{1}{80}
  19. \frac{1}{80}
  20. \frac{3}{80}

I hope this helps you understand fractions of 10%! Remember to practice, and you’ll get even better!