Year 5 Maths: Convert Fractions to Percentages

Introduction to Fractions and Percentages

Hello Year 5! Today, we are going to learn how to convert fractions into percentages. This is a really useful skill that helps us understand parts of a whole in different ways. Let’s break it down step by step.

What is a Fraction?

A fraction is a way to show a part of something. For example, if you have a pizza cut into 4 equal slices and you eat 1 slice, you have eaten $$\frac{1}{4}$$ of the pizza. The top number (1) is called the numerator, and the bottom number (4) is called the denominator.

What is a Percentage?

A percentage is another way to talk about parts of a whole, but it uses 100 as the whole. For example, if you have 25 out of 100 marbles that are red, you can say that 25% of the marbles are red.

How to Convert Fractions to Percentages

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

1. Divide the numerator by the denominator.
   • This gives you a decimal.
   • For example, for the fraction $$\frac{1}{4}$$ , you would do $$1 \div 4 = 0.25$$ .
2. Multiply the decimal by 100.
   • This will convert the decimal into a percentage.
   • Using our example, $$0.25 \times 100 = 25$$ . So, $$\frac{1}{4}$$ is equal to 25%.
3. Add the percentage sign (%).
   • Don’t forget to write the percentage sign! So, we say that $$\frac{1}{4} = 25%$$ .

Example

Let’s look at another example: converting $$\frac{3}{5}$$ to a percentage.

1. Divide: $$3 \div 5 = 0.6$$
2. Multiply: $$0.6 \times 100 = 60$$
3. Write it as a percentage: $$\frac{3}{5} = 60%$$ .

Key Rules

• Always divide the top number (numerator) by the bottom number (denominator).
• Remember to multiply the decimal by 100 to get your percentage.
• Always add the % sign at the end.

Tips and Tricks

• If you can’t remember the steps, you can use this phrase: “Divide, Multiply, and Add the %!”
• Practice with different fractions to get comfortable with the process.
• You can use a calculator for larger numbers to make it easier.

Practice Questions

Easy Level Questions

1. Convert $$\frac{1}{2}$$ to a percentage.
2. Convert $$\frac{3}{4}$$ to a percentage.
3. Convert $$\frac{1}{5}$$ to a percentage.
4. Convert $$\frac{2}{10}$$ to a percentage.
5. Convert $$\frac{1}{3}$$ to a percentage.
6. Convert $$\frac{2}{5}$$ to a percentage.
7. Convert $$\frac{1}{10}$$ to a percentage.
8. Convert $$\frac{3}{5}$$ to a percentage.
9. Convert $$\frac{5}{10}$$ to a percentage.
10. Convert $$\frac{4}{5}$$ to a percentage.

Medium Level Questions

1. Convert $$\frac{7}{10}$$ to a percentage.
2. Convert $$\frac{9}{20}$$ to a percentage.
3. Convert $$\frac{2}{8}$$ to a percentage.
4. Convert $$\frac{5}{12}$$ to a percentage.
5. Convert $$\frac{1}{6}$$ to a percentage.
6. Convert $$\frac{8}{15}$$ to a percentage.
7. Convert $$\frac{11}{25}$$ to a percentage.
8. Convert $$\frac{3}{8}$$ to a percentage.
9. Convert $$\frac{4}{12}$$ to a percentage.
10. Convert $$\frac{2}{3}$$ to a percentage.

Hard Level Questions

1. Convert $$\frac{13}{50}$$ to a percentage.
2. Convert $$\frac{15}{28}$$ to a percentage.
3. Convert $$\frac{9}{16}$$ to a percentage.
4. Convert $$\frac{17}{40}$$ to a percentage.
5. Convert $$\frac{23}{60}$$ to a percentage.
6. Convert $$\frac{5}{18}$$ to a percentage.
7. Convert $$\frac{14}{33}$$ to a percentage.
8. Convert $$\frac{19}{30}$$ to a percentage.
9. Convert $$\frac{21}{45}$$ to a percentage.
10. Convert $$\frac{27}{70}$$ to a percentage.

Answers with Explanations

Easy Level Answers

1. $$\frac{1}{2} = 50%$$
   • $$1 \div 2 = 0.5$$ , $$0.5 \times 100 = 50$$ .
2. $$\frac{3}{4} = 75%$$
   • $$3 \div 4 = 0.75$$ , $$0.75 \times 100 = 75$$ .
3. $$\frac{1}{5} = 20%$$
   • $$1 \div 5 = 0.2$$ , $$0.2 \times 100 = 20$$ .
4. $$\frac{2}{10} = 20%$$
   • $$2 \div 10 = 0.2$$ , $$0.2 \times 100 = 20$$ .
5. $$\frac{1}{3} \approx 33.33%$$
   • $$1 \div 3 \approx 0.333$$ , $$0.333 \times 100 \approx 33.33$$ .
6. $$\frac{2}{5} = 40%$$
   • $$2 \div 5 = 0.4$$ , $$0.4 \times 100 = 40$$ .
7. $$\frac{1}{10} = 10%$$
   • $$1 \div 10 = 0.1$$ , $$0.1 \times 100 = 10$$ .
8. $$\frac{3}{5} = 60%$$
   • $$3 \div 5 = 0.6$$ , $$0.6 \times 100 = 60$$ .
9. $$\frac{5}{10} = 50%$$
   • $$5 \div 10 = 0.5$$ , $$0.5 \times 100 = 50$$ .
10. $$\frac{4}{5} = 80%$$
    • $$4 \div 5 = 0.8$$ , $$0.8 \times 100 = 80$$ .

Medium Level Answers

1. $$\frac{7}{10} = 70%$$
   • $$7 \div 10 = 0.7$$ , $$0.7 \times 100 = 70$$ .
2. $$\frac{9}{20} = 45%$$
   • $$9 \div 20 = 0.45$$ , $$0.45 \times 100 = 45$$ .
3. $$\frac{2}{8} = 25%$$
   • $$2 \div 8 = 0.25$$ , $$0.25 \times 100 = 25$$ .
4. $$\frac{5}{12} \approx 41.67%$$
   • $$5 \div 12 \approx 0.4167$$ , $$0.4167 \times 100 \approx 41.67$$ .
5. $$\frac{1}{6} \approx 16.67%$$
   • $$1 \div 6 \approx 0.1667$$ , $$0.1667 \times 100 \approx 16.67$$ .
6. $$\frac{8}{15} \approx 53.33%$$
   • $$8 \div 15 \approx 0.5333$$ , $$0.5333 \times 100 \approx 53.33$$ .
7. $$\frac{11}{25} = 44%$$
   • $$11 \div 25 = 0.44$$ , $$0.44 \times 100 = 44$$ .
8. $$\frac{3}{8} = 37.5%$$
   • $$3 \div 8 = 0.375$$ , $$0.375 \times 100 = 37.5$$ .
9. $$\frac{4}{12} \approx 33.33%$$
   • $$4 \div 12 \approx 0.3333$$ , $$0.3333 \times 100 \approx 33.33$$ .
10. $$\frac{2}{3} \approx 66.67%$$
    • $$2 \div 3 \approx 0.6667$$ , $$0.6667 \times 100 \approx 66.67$$ .

Hard Level Answers

1. $$\frac{13}{50} = 26%$$
   • $$13 \div 50 = 0.26$$ , $$0.26 \times 100 = 26$$ .
2. $$\frac{15}{28} \approx 53.57%$$
   • $$15 \div 28 \approx 0.5357$$ , $$0.5357 \times 100 \approx 53.57$$ .
3. $$\frac{9}{16} = 56.25%$$
   • $$9 \div 16 = 0.5625$$ , $$0.5625 \times 100 = 56.25$$ .
4. $$\frac{17}{40} = 42.5%$$
   • $$17 \div 40 = 0.425$$ , $$0.425 \times 100 = 42.5$$ .
5. $$\frac{23}{60} \approx 38.33%$$
   • $$23 \div 60 \approx 0.3833$$ , $$0.3833 \times 100 \approx 38.33$$ .
6. $$\frac{5}{18} \approx 27.78%$$
   • $$5 \div 18 \approx 0.2778$$ , $$0.2778 \times 100 \approx 27.78$$ .
7. $$\frac{14}{33} \approx 42.42%$$
   • $$14 \div 33 \approx 0.4242$$ , $$0.4242 \times 100 \approx 42.42$$ .
8. $$\frac{19}{30} \approx 63.33%$$
   • $$19 \div 30 \approx 0.6333$$ , $$0.6333 \times 100 \approx 63.33$$ .
9. $$\frac{21}{45} \approx 46.67%$$
   • $$21 \div 45 \approx 0.4667$$ , $$0.4667 \times 100 \approx 46.67$$ .
10. $$\frac{27}{70} \approx 38.57%$$
    • $$27 \div 70 \approx 0.3857$$ , $$0.3857 \times 100 \approx 38.57$$ .

Conclusion

Great job today, Year 5! You’ve learned how to convert fractions to percentages. Remember to practice these skills to become even better at maths. Keep up the good work!