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decimals

Decimal equivalents of halves and quarters

Learn common links such as 1/2 = 0.5 and 1/4 = 0.25.

Quick answer

One half is 0.5 and one quarter is 0.25. These decimal numbers are the same as fractions you already know, and you can use them to make adding and sharing easier in everyday life.

Learning outcome

By the end of this page, you will understand how to change common fractions like 1/2 and 1/4 into decimal numbers like 0.5 and 0.25. You will also be able to use these decimals to share things fairly and solve simple problems. Success signs:
  • You can say that 1/2 equals 0.5
  • You can say that 1/4 equals 0.25
  • You can use these decimals to share a pizza or a cake
  • You can add decimal numbers like 0.5 + 0.25

Why this matters

Understanding decimal equivalents of halves and quarters helps you in many situations. When you go shopping, you might see a sale where something is half off. If you're sharing a cake or a pizza, you’ll need to know how to split it fairly. Decimals make it easier to compare prices, measure ingredients, or work out how much of something you have left. Learning these decimals helps you do maths more quickly and confidently.

How it works

Decimal numbers are another way to write fractions. They use a decimal point (like 0.5) to show parts of a whole. To change a fraction into a decimal, you can think of it like dividing. For example:
  • 1/2 means one part out of two equal parts. When you divide 1 by 2, you get 0.5
  • 1/4 means one part out of four equal parts. When you divide 1 by 4, you get 0.25
Here’s how you can think of it:
  1. Think of a whole object, like a pizza or a cake
  2. Split it into equal parts
  3. Count how many parts you have
  4. Use the decimal to show how much each part is

Examples you can see

Let’s look at some real-life examples to help you understand how halves and quarters work as decimals. Example 1: Sharing a chocolate bar Imagine you have a chocolate bar and you want to share it equally between 2 people. That means each person gets 1/2 of the bar. In decimal form, that’s 0.5 of the bar. Example 2: Making a pizza You order a pizza cut into 4 slices. You eat 1 slice. That’s 1/4 of the pizza. In decimal form, that’s 0.25 of the pizza. Example 3: Measuring a ruler If a ruler is 10 cm long, and you want to find half of it, you look at 5 cm. That’s 1/2 of 10 cm, or 0.5 cm. If you want to find a quarter, you look at 2.5 cm. That’s 1/4 of 10 cm, or 0.25 cm. Example 4: Counting money A 50p coin is 1/2 of a pound. That’s 0.50 pounds. A 25p coin is 1/4 of a pound. That’s 0.25 pounds. Let’s look at a table to help you remember the most common decimal equivalents: Decimal equivalents of common fractions
Fraction Decimal
1/2 0.5
1/4 0.25
2/4 0.5
3/4 0.75
1/10 0.1

Try it as a mini adventure

The Great Cake Sharing Challenge You are a chef in a bakery. You have a big cake that needs to be shared fairly. You have 8 guests coming to your party. You want to make sure everyone gets the same amount. What fraction of the cake does each person get? What decimal is that?
  1. First, you split the cake into 8 equal pieces
  2. Each person gets 1/8 of the cake
  3. But you want to know the decimal value of 1/8
  4. Since 1 divided by 8 equals 0.125, each person gets 0.125 of the cake
But wait! You also want to give some extra pieces to your best friend. If your friend gets 2 pieces, how much cake is that in decimal form?
  1. 2 pieces out of 8 = 2/8
  2. 2 divided by 8 = 0.25
  3. Your friend gets 0.25 of the cake
Now, you want to know how much cake is left for the rest of the guests after your friend takes their share.
  1. Total cake = 1 (or 1.00)
  2. Your friend took 0.25
  3. Left for others = 1.00 - 0.25 = 0.75
You can also check if 0.75 is the same as 3/4. Yes, it is! So the rest of the guests get 3/4 of the cake.

Common mistakes

  • Mistake: Thinking 1/4 = 0.4 instead of 0.25
    Why it happens: Mixing up the decimal place values
    Fix: Remember that 0.25 means 25 hundredths, not 4 tenths
  • Mistake: Thinking 1/2 = 0.2 instead of 0.5
    Why it happens: Confusing 1/2 with 1/5
    Fix: Use a visual like a pie chart or a number line to show 1/2 is half of 1
  • Mistake: Adding decimals like 0.5 + 0.25 = 0.75 but forgetting to line up the decimal points
    Why it happens: Not paying attention to place value
    Fix: Write the decimals in columns and add carefully

Parent and carer guide

Parents and carers can help children understand decimal equivalents by:
  • Using real-life examples like measuring ingredients for baking or splitting a pizza
  • Playing games where children match fractions to decimals
  • Using visual tools like fraction circles or bar models to show how 1/2 = 0.5
  • Practising with everyday situations like shopping or splitting money
  • Encouraging children to explain their thinking, not just give answers
It's important to be patient and let children make mistakes. They often learn best when they figure out how to correct their own errors. Don’t worry if they get confused at first – it's part of the learning process!

Practice questions

  1. What is 1/2 as a decimal?
  2. What is 1/4 as a decimal?
  3. What is 3/4 as a decimal?
  4. What is 2/4 as a decimal?
  5. What is 1/10 as a decimal?
Answers:
  1. 0.5
  2. 0.25
  3. 0.75
  4. 0.5
  5. 0.1

FAQ

What does 0.5 mean?
0.5 means 5 tenths, or half of one. It’s the same as 1/2.

How do I know if a fraction is the same as a decimal?
You can divide the numerator (top number) by the denominator (bottom number). For example, 1 divided by 4 = 0.25.

Why are decimals useful?
Decimals help us measure things more precisely, like how much milk is left in a jug or how much money is in your pocket. They also make it easier to add and compare amounts.

Can I use decimals to share things?
Yes! If you have 1 cake and 4 friends, each person gets 0.25 of the cake (or 1/4). You can use decimals to make sharing fair and clear.

What comes after 0.25 in decimals?
After 0.25 comes 0.50, then 0.75, then 1.00. These are the same as 1/4, 1/2, 3/4, and 1 whole.