Age 8 guide to fractions of amounts

Quick answer

Fractions of amounts means finding a part of a whole number, like finding one-half of 10 or one-third of 12. You do this by dividing the number by the bottom number (denominator) and then multiplying by the top number (numerator).

Learning outcome

By the end of this page, you will be able to find fractions of amounts using division and multiplication, and you will know how to use this in everyday life.

• You can find one-half, one-third, one-quarter, and one-fifth of different numbers.
• You can solve problems like: "What is one-third of 18?"
• You can share items fairly using fractions.
• You can explain how to find fractions of amounts to a friend.

Why this matters

Fractions of amounts are useful in many situations you'll meet every day. When you're sharing a pizza with friends, splitting a cake, or dividing your pocket money, you're using fractions. You'll also need this skill in school when working with measurements, money, and data. Understanding how to find parts of numbers helps you solve real-life problems and makes you more confident with maths.

How it works

Let's learn how to find fractions of amounts step by step:

1. Look at the fraction. For example, if you want to find one-third of 12, the fraction is 1/3.
2. Divide the number by the bottom number (denominator). So, 12 divided by 3 equals 4.
3. Multiply by the top number (numerator). Since the numerator is 1, you multiply 4 by 1, which is still 4.
4. Check your answer. You can double-check by adding 4 + 4 + 4 = 12.

This method works for any fraction. Try this with two-fifths of 20:

1. Fraction is 2/5.
2. Divide 20 by 5 = 4.
3. Multiply 4 by 2 = 8.
4. So, two-fifths of 20 is 8.

Examples you can see

Let's look at some real-life examples to make this easier to understand:

Example 1: You have 12 sweets and want to give one-half to your friend.

• One-half means 1/2.
• Divide 12 by 2 = 6.
• So, your friend gets 6 sweets.

Example 2: You are sharing 18 cookies with 3 friends.

• Each person gets one-third of the cookies.
• 1/3 of 18 = 18 ÷ 3 = 6.
• Each friend gets 6 cookies.

Example 3: You have 24 stickers and want to give one-quarter to your sister.

• One-quarter means 1/4.
• 24 ÷ 4 = 6.
• Your sister gets 6 stickers.

Example 4: You are splitting 30 marbles equally between 5 people.

• Each person gets one-fifth of the marbles.
• 1/5 of 30 = 30 ÷ 5 = 6.
• Each person gets 6 marbles.

Try it as a mini adventure

Adventure: The Fraction Bakery

You are the head baker at a magical bakery that makes special fraction cakes. Today, you need to make cakes for a party. Each cake needs 12 ingredients, and you want to make one-half of a cake for a small child.

1. Step 1: You have 12 ingredients. One-half of 12 = 12 ÷ 2 = 6 ingredients.
2. Step 2: For one-quarter of a cake, you need 12 ÷ 4 = 3 ingredients.
3. Step 3: For one-third of a cake, you need 12 ÷ 3 = 4 ingredients.
4. Step 4: You have 24 ingredients. How many ingredients are needed for two-thirds of a cake?
5. Step 5: 24 ÷ 3 = 8, then 8 × 2 = 16 ingredients.

You can draw a picture of your cakes or use actual ingredients to help you solve the problems!

Common mistakes

• Mistake: Thinking that one-half of 10 is 5, but then forgetting to multiply by the numerator.

  Why it happens: Children often forget to multiply after dividing.

  Fix: Always remember to multiply by the numerator after dividing.

• Mistake: Dividing the numerator by the denominator instead of the denominator by the numerator.

  Why it happens: Mixing up the steps of the process.

  Fix: Remember: divide by the bottom number, then multiply by the top number.

• Mistake: Not checking the answer.

  Why it happens: Rushing through the problem.

  Fix: Always double-check your answer by adding or multiplying to see if it makes sense.

Parent and carer guide

Helping your child understand fractions of amounts doesn't have to be hard. Here's how you can support them in just 5-10 minutes:

• Use everyday examples: When you're cooking, ask your child to help you find one-half or one-third of the ingredients.
• Practice with objects: Use counters, blocks, or food to show how to split things into equal parts.
• Ask questions: "If we have 12 biscuits and want to share them equally among 4 people, how many does each person get?"
• Encourage checking: After solving, ask them to double-check their answer by adding or multiplying.
• Keep it fun: Use games or real-life situations to make it interesting and less like a test.

Don't worry if they make mistakes. Mistakes help children learn and understand better. Stay positive and encouraging!

Practice questions

1. What is one-half of 10?
2. What is one-third of 15?
3. What is one-quarter of 20?
4. What is two-fifths of 25?
5. What is three-quarters of 16?

Answers:

1. 10 ÷ 2 = 5
2. 15 ÷ 3 = 5
3. 20 ÷ 4 = 5
4. 25 ÷ 5 = 5, then 5 × 2 = 10
5. 16 ÷ 4 = 4, then 4 × 3 = 12

FAQ

What is a fraction?

A fraction is a way to show part of a whole. It has a top number (numerator) and a bottom number (denominator). For example, in 1/4, the 1 is the numerator and 4 is the denominator.

Why do we need to know fractions of amounts?

Fractions of amounts help us share things fairly, measure ingredients, and solve problems in everyday life. They are used in cooking, shopping, time, and many other areas.

How can I practice fractions of amounts at home?

You can practice by sharing snacks, using measuring cups while cooking, or dividing toys or books equally among family members. Try asking, "What is half of this pile of toys?"

What if I get confused between numerator and denominator?

Remember: the denominator is the bottom number, and it tells you how many equal parts the whole is divided into. The numerator is the top number, and it tells you how many parts you have.

Can I use a calculator for fractions of amounts?

Yes, you can use a calculator to check your answers, but it's good to know how to do it by hand first. This helps you understand the process better.