Concept 1 of 7
Parts of a Whole: What is a Fraction?
Today's big idea
The bottom number counts the equal pieces; the top counts how many you took.
Equal pieces are what make it a fraction, so uneven cuts do not count.
How it works
👀 What's going on?
Cut a pizza down the middle and you have halves. Cut it into four and you have quarters. The moment you cut something into equal parts and take some of them, you are using a fraction, whether anybody says the word or not.
💡 Here's the trick
Look at the pizza above. It is cut into 4 equal slices and 3 are shaded, so the shaded amount is written 3/4. The bottom number counts how many equal pieces the whole was cut into. The top number counts how many of those pieces you took.
🪄 How to do it
- 1.Count the total equal pieces, the way the pizza above is cut into 4. That number goes on the bottom.
- 2.Count how many pieces are taken or shaded. That number goes on top.
✍️ Try it
A chocolate bar has 8 equal squares and you eat 3. What fraction did you eat, and what fraction is left? Then: a ribbon is cut into 5 equal strips and 2 are used.
The bar has 8 pieces so 8 goes on the bottom, and you ate 3, so you ate 3/8. The 5 uneaten squares are 5/8, and the two fractions together make the whole bar. The ribbon gives 2/5 used.
⚠️ Watch out
You might be thinking any pieces will do. They will not. The pieces have to be equal. Snap a bar into a big lump and a small one and eat the big lump. You have not eaten 1/2. You have eaten more than half, and calling it 1/2 would be a lie.
🌟 Why this matters
Sharing chocolate, splitting a bill, following a recipe, reading half past four. All of it is parts of a whole. Once you can see the pieces, fractions stop being a school topic and start being something you already do.
Exam tip: When a shape is shaded, count the total pieces first; the bottom number is what most children get wrong.
Watch me solve one
Quanta solves it
“Watch how I think through one of these — then you try.”
THE PROBLEM
“A ribbon is cut into 6 equal parts. 1 part is used. What fraction is left?”
- 1
Find the TOTAL parts
Cut into 6 parts → bottom of the fraction is 6. 🎀
- 2
Find what's LEFT
6 − 1 used = 5 parts remaining.
- 3
Write the fraction
Left on top, total on bottom: 5 / 6
- 4
Answer ✓
5/6 of the ribbon is left
Now you try one — same steps, different story 👇
See it in action
⚡ Time to play!
Tap the slices to shade them. Make the pizza match the target fraction!
FRACTION · ROUND 1 OF 3
Shade this many: 3/4
Quick check
✅ VERIFICATION
A chocolate bar has 10 equal squares. You eat 7. What fraction did you eat?
⚡ Finish the activity above first to answer.
Keep going!
Up next: Fraction Family
Unit, proper, improper, mixed, each tells a story.