Year 6 Maths: Fractions to Percentages

Hello, Year 6! Today, we’re going to explore how to convert fractions into percentages. This is an important skill that can help you understand parts of a whole in different ways. Let’s break it down step by step.

What are Fractions?

A fraction represents a part of a whole. 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.

What are Percentages?

A percentage is a way of expressing a number as a part of 100. So, if you have 25 out of 100, it’s written as 25%.

How to Convert Fractions to Percentages

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

1. Divide the top number (numerator) by the bottom number (denominator).
2. Multiply the result by 100.

Example

Let’s convert the fraction $$\frac{3}{4}$$ to a percentage.

1. Divide: $$3 \div 4 = 0.75$$
2. Multiply: $$0.75 \times 100 = 75$$

So, $$\frac{3}{4}$$ is equal to 75%.

Key Rules

• Remember that 100% means the whole.
• If a fraction equals a half, it will always be 50%.
• If a fraction has a denominator of 10, you can easily read the percentage. For example, $$\frac{7}{10}$$ is 70%.

Tips and Tricks

• Use simple fractions: Start with fractions like $$\frac{1}{2}$$ , $$\frac{1}{4}$$ , and $$\frac{3}{4}$$ .
• Check your work: If you get a percentage, you can double-check by converting it back to a fraction.
• Use a calculator for larger numbers: This can save time and help you avoid mistakes.

Practice Questions

Now it’s time to practice what we’ve learned! Here are some questions for you.

Easy Level Questions

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

Medium Level Questions

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

Hard Level Questions

1. Convert $$\frac{13}{50}$$ to a percentage.
2. Convert $$\frac{17}{40}$$ to a percentage.
3. Convert $$\frac{9}{16}$$ to a percentage.
4. Convert $$\frac{5}{12}$$ to a percentage.
5. Convert $$\frac{11}{30}$$ to a percentage.
6. Convert $$\frac{23}{60}$$ to a percentage.
7. Convert $$\frac{19}{25}$$ to a percentage.
8. Convert $$\frac{15}{32}$$ to a percentage.
9. Convert $$\frac{7}{12}$$ to a percentage.
10. Convert $$\frac{8}{15}$$ to a percentage.

Answers and Explanations

Now let’s check your answers!

Answers for Easy Level Questions

1. $$\frac{1}{2} = 50%$$
2. $$\frac{1}{4} = 25%$$
3. $$\frac{3}{10} = 30%$$
4. $$\frac{1}{5} = 20%$$
5. $$\frac{2}{5} = 40%$$
6. $$\frac{3}{4} = 75%$$
7. $$\frac{1}{8} = 12.5%$$
8. $$\frac{6}{10} = 60%$$
9. $$\frac{4}{10} = 40%$$
10. $$\frac{5}{10} = 50%$$

Answers for Medium Level Questions

1. $$\frac{2}{3} \approx 66.67%$$
2. $$\frac{5}{8} = 62.5%$$
3. $$\frac{7}{10} = 70%$$
4. $$\frac{2}{7} \approx 28.57%$$
5. $$\frac{3}{5} = 60%$$
6. $$\frac{9}{20} = 45%$$
7. $$\frac{4}{5} = 80%$$
8. $$\frac{3}{8} = 37.5%$$
9. $$\frac{1}{6} \approx 16.67%$$
10. $$\frac{11}{25} = 44%$$

Answers for Hard Level Questions

1. $$\frac{13}{50} = 26%$$
2. $$\frac{17}{40} = 42.5%$$
3. $$\frac{9}{16} = 56.25%$$
4. $$\frac{5}{12} \approx 41.67%$$
5. $$\frac{11}{30} \approx 36.67%$$
6. $$\frac{23}{60} \approx 38.33%$$
7. $$\frac{19}{25} = 76%$$
8. $$\frac{15}{32} \approx 46.875%$$
9. $$\frac{7}{12} \approx 58.33%$$
10. $$\frac{8}{15} \approx 53.33%$$

Great job, Year 6! Keep practicing your fractions and percentages, and you’ll become a pro in no time!