Introduction

Hello Year 6! Today, we are going to learn how to find a fraction of an amount, especially when it involves more than one part of a whole. This is an important skill that will help you in many areas of maths and everyday life.

What is a Fraction?

First, let’s remember what a fraction is. A fraction represents a part of a whole. For example, if we have a pizza cut into 4 equal slices, each slice is a fraction of the whole pizza. If we take 1 slice, we have $\frac{1}{4}$ of the pizza.

Finding a Fraction of an Amount

When we talk about finding a fraction of an amount, we are trying to find out how much a certain part of that amount is.

Steps to Find a Fraction of an Amount

  1. Identify the whole amount. This is the total you are starting with.
  2. Identify the fraction. This tells you how many parts of the whole you’re interested in.
  3. Divide the whole amount by the denominator (the bottom number of the fraction). This gives you the value of one part.
  4. Multiply the value of one part by the numerator (the top number of the fraction). This gives you the final answer.

Example

Let’s say we want to find $\frac{3}{4}$ of £20.

  1. The whole amount is £20.
  2. The fraction is $\frac{3}{4}$.
  3. Divide £20 by 4: \frac{20}{4} = 5
    (This means each part is worth £5.)
  4. Now multiply by 3: 5 \times 3 = 15

So, $\frac{3}{4}$ of £20 is £15.

Tips and Tricks

  • Use Simple Numbers: Start with easy numbers to practice before moving on to harder ones.
  • Write it Down: Always write down the steps to avoid confusion.
  • Practice with Real-Life Examples: Use things like money, sweets, or toys to make it relatable.

Questions for Practice

Easy Level Questions

  1. What is $\frac{1}{2}$ of 10?
  2. What is $\frac{3}{5}$ of 25?
  3. What is $\frac{1}{4}$ of 16?
  4. What is $\frac{2}{3}$ of 9?
  5. What is $\frac{1}{10}$ of 50?
  6. What is $\frac{3}{4}$ of 8?
  7. What is $\frac{2}{5}$ of 20?
  8. What is $\frac{5}{6}$ of 30?
  9. What is $\frac{1}{3}$ of 12?
  10. What is $\frac{3}{2}$ of 4?

Medium Level Questions

  1. What is $\frac{4}{5}$ of 40?
  2. What is $\frac{2}{3}$ of 27?
  3. What is $\frac{5}{8}$ of 32?
  4. What is $\frac{7}{10}$ of 50?
  5. What is $\frac{3}{8}$ of 24?
  6. What is $\frac{9}{4}$ of 16?
  7. What is $\frac{6}{5}$ of 25?
  8. What is $\frac{8}{3}$ of 15?
  9. What is $\frac{11}{2}$ of 14?
  10. What is $\frac{3}{7}$ of 49?

Hard Level Questions

  1. What is $\frac{5}{12}$ of 60?
  2. What is $\frac{7}{8}$ of 64?
  3. What is $\frac{9}{5}$ of 45?
  4. What is $\frac{11}{3}$ of 36?
  5. What is $\frac{4}{9}$ of 81?
  6. What is $\frac{2}{11}$ of 88?
  7. What is $\frac{5}{7}$ of 42?
  8. What is $\frac{3}{10}$ of 100?
  9. What is $\frac{13}{6}$ of 72?
  10. What is $\frac{8}{15}$ of 75?

Answers and Explanations

Easy Level Answers

  1. 5
  2. 15
  3. 4
  4. 6
  5. 5
  6. 6
  7. 8
  8. 25
  9. 4
  10. 6

Medium Level Answers

  1. 32
  2. 18
  3. 20
  4. 35
  5. 9
  6. 28
  7. 25
  8. 40
  9. 77
  10. 21

Hard Level Answers

  1. 25
  2. 56
  3. 81
  4. 36
  5. 36
  6. 16
  7. 30
  8. 30
  9. 156
  10. 40

Conclusion

Finding a fraction of an amount can be fun and easy! Remember the steps we talked about, and practice with different examples. You will get better with time. Happy learning!