Year 3 Maths: Fractions Of A Number Explained And Practiced

📚 Detailed Explanation of Fractions of a Number

In Year 3 Maths, learning about fractions of a number is important and fun! Fractions help us understand parts of a whole or parts of a group. According to the UK National Curriculum for Year 3 in Key Stage 2, children should be able to find fractions of a quantity, which means finding part of a number using fractions.

➗ What is a Fraction?

A fraction shows how many parts of a whole you have. It has two numbers:

• The top number (called the numerator) tells you how many parts you are talking about.
• The bottom number (called the denominator) tells you how many equal parts the whole is split into.

For example, in the fraction 2/5:

• The numerator is 2 (we have 2 parts).
• The denominator is 5 (the whole is split into 5 equal parts).

🤔 What Does “Fraction of a Number” Mean?

When we say “fraction of a number,” we mean finding a part of that number. For example, if you have 12 apples and you want to find 1/3 of 12, you are finding one part out of three equal parts of the number 12.

📝 Step-by-Step Method to Find a Fraction of a Number

Let’s use 2/5 of 20 as an example:

1. Understand the fraction: 2/5 means you want 2 parts out of 5 equal parts.
2. Divide the whole number by the denominator: Divide 20 by 5 because the denominator is 5.
   20 ÷ 5 = 4
3. Multiply the result by the numerator: Multiply 4 by 2 (the numerator).
   4 × 2 = 8
4. Answer: 2/5 of 20 is 8.

✅ Another Example

Find 3/4 of 16:

1. Divide 16 by 4 (the denominator):
   16 ÷ 4 = 4
2. Multiply the result by 3 (the numerator):
   4 × 3 = 12
3. So, 3/4 of 16 is 12.

💡 Tips to Remember

• Always divide first by the denominator to find one part.
• Then multiply by the numerator to find how many parts you want.
• Make sure the number you divide by is the bottom number of the fraction.
• Practice with lots of different numbers to get confident!

🎯 Why is This Important in the National Curriculum?

Finding fractions of numbers helps you understand parts of quantities, which is useful in everyday life like sharing, cooking, and problem-solving. These skills build a strong foundation for more difficult fractions and decimals you will learn later.

Keep practising with your own examples, and soon finding fractions of a number will be easy and fun! 🎉

📝 20 Examination-Style Questions on Fractions of a Number for Year 3

Here are 20 examination-style questions on the topic Fractions of a number designed to test a Year 3 student’s understanding and ability to apply what they know about fractions of whole numbers. These questions include different difficulty levels and types, such as word problems, calculations, and multiple-choice questions.

Questions:

1. What is 1/2 of 12?
2. Find 1/4 of 20.
3. Calculate 3/5 of 25.
4. What is 2/3 of 18?
5. Find 1/3 of 15.
6. A box has 24 apples. What is 1/6 of the apples?
7. Chloe ate 1/4 of 16 slices of pizza. How many slices did she eat?
8. There are 30 candies. What is 2/5 of 30?
9. Write the answer: 3/4 of 28.
10. A farmer has 40 sheep. 1/8 of them are white. How many white sheep are there?
11. Mark has 18 marbles. He gave away 2/3 of them. How many marbles did he give?
12. Find half of 50.
13. John read 3/10 of 100 pages. How many pages did he read?
14. What is 4/7 of 21?
15. A chocolate bar has 36 pieces. Mia ate 5/6 of them. How many pieces did she eat?
16. There are 45 students in a class. 1/9 of them are absent. How many students are absent?
17. Find 2/3 of 27.
18. Sita has 60 stickers. She gave away 3/5 of her stickers. How many stickers did she give away?
19. What is 5/8 of 64?
20. Harry drank 3/4 of 32ml of juice. How much juice did he drink?

These questions help Year 3 students practise finding fractions of numbers by using multiplication and division skills, understanding different fraction parts, and solving basic word problems involving fractions. Encourage students to draw pictures or use counters to visualise fractions where needed! 🧮

✔️ Answers to Examination-Style Questions on Fractions of a Number

Here are the answers to 20 examination-style questions on fractions of a number for Year 3 Key Stage 2 students. Each answer includes a clear, step-by-step solution to help you understand how to work out fractions of a number.

💡 Tips for Finding Fractions of a Number:

• Always divide the number by the denominator (bottom number of the fraction) first.
• Then multiply the result by the numerator (top number of the fraction).
• This helps you understand the fraction part of the number step by step.

Keep practising these steps, and you will get better at finding fractions of any number! 🚀