Fractions of amounts
Calculate parts of numbers with times table facts.
Quick answer
Fractions of amounts means finding a part of a number, like one-half of 10 or one-quarter of 12. You can do this by dividing the number by the bottom number of the fraction, or by using your times table facts.
Learning outcome
By the end of this page, you will be able to find fractions of amounts using division or multiplication, and understand how fractions relate to sharing and equal parts.
- You can find one-half, one-third, one-quarter, and other simple fractions of a number
- You understand that finding a fraction means sharing equally
- You can use your times table facts to help you solve fraction problems
- You can apply fractions to real-life situations like sharing food or dividing time
Why this matters
Fractions of amounts are useful in everyday life. When you share a pizza with friends, divide a cake, or split a bag of sweets, you are using fractions. Understanding how to find fractions helps you share fairly and solve problems. In school, this skill helps you with more complex maths like ratios and percentages later on. It also helps you understand how parts make up a whole.
How it works
When you see a fraction like 1/4 of a number, it means you need to find one part out of four equal parts. You can do this in two ways:
- Divide the number by the bottom number of the fraction
- Use your times table facts to find the answer
For example, to find 1/4 of 12:
- Divide 12 by 4 = 3
- Or, use your times table: 3 x 4 = 12, so 1/4 of 12 = 3
Examples you can see
Let's imagine you have a bag of 12 sweets and you want to share them equally among 4 friends. Each friend gets one-quarter of the sweets.
| Fraction | Number of Sweets | How to Work It Out | Answer |
|---|---|---|---|
| 1/2 | 10 | 10 ÷ 2 = 5 | 5 sweets |
| 1/3 | 12 | 12 ÷ 3 = 4 | 4 sweets |
| 1/4 | 12 | 12 ÷ 4 = 3 | 3 sweets |
| 1/6 | 18 | 18 ÷ 6 = 3 | 3 sweets |
You can also think of this as drawing arrays. If you have 12 sweets and want to make 4 equal rows, each row will have 3 sweets. That's 1/4 of 12.
Try it as a mini adventure
Imagine you are planning a party for 8 friends. You have 24 cupcakes and want to make sure everyone gets the same number. You need to find 1/8 of 24.
Let’s go on a journey to solve this together:
- First, you know you have 24 cupcakes
- There are 8 friends
- You need to find 1/8 of 24
- So, divide 24 by 8 = 3
- Each friend gets 3 cupcakes
Now, let’s try a challenge: If you had 32 cookies and wanted to share them among 4 friends, how many would each friend get? You can use your times table to check: 8 x 4 = 32, so 1/4 of 32 = 8.
Common mistakes
- Mistake: Thinking that 1/3 of 12 means 1 + 3 = 4
Why it happens: Confusing the fraction with addition
Fix: Remember, 1/3 means divide by 3. So 12 ÷ 3 = 4 - Mistake: Using the top number as the divisor
Why it happens: Not understanding what the fraction means
Fix: The bottom number is the number of equal parts, so divide by that - Mistake: Forgetting to check if the answer makes sense
Why it happens: Rushing through problems
Fix: Always double-check your division or multiplication
Parent and carer guide
As a parent or carer, you can help by:
- Using everyday situations like sharing food or dividing toys to explain fractions
- Encouraging your child to use their times table knowledge when solving fraction problems
- Asking questions like "How many will each person get if we split this equally?"
- Practising with real objects like counters, blocks, or pieces of fruit
- Not worrying if your child makes a mistake – it's part of learning
Tip: If your child is stuck, try drawing pictures or using objects to show the problem. This makes it easier to understand.
Practice questions
- What is 1/2 of 10? Answer: 5
- What is 1/3 of 15? Answer: 5
- What is 1/4 of 20? Answer: 5
- What is 1/5 of 25? Answer: 5
- What is 1/6 of 30? Answer: 5
- What is 1/8 of 24? Answer: 3
- What is 1/10 of 50? Answer: 5
- What is 1/12 of 36? Answer: 3
- What is 1/3 of 18? Answer: 6
- What is 1/4 of 16? Answer: 4
FAQ
What does "fractions of amounts" mean?
It means finding a part of a number, like one-half or one-third of a group.
How do I find 1/4 of a number?
Divide the number by 4. For example, 1/4 of 12 is 12 ÷ 4 = 3.
Can I use multiplication to find fractions?
Yes! If you know that 3 x 4 = 12, then 1/4 of 12 = 3.
Why is it helpful to know fractions of amounts?
It helps you share things fairly, solve real-life problems, and understand how parts make up a whole.
How can I practice at home?
Use food, toys, or counters to share equally and find fractions. Try asking "How many will each person get if we split this?"