Learn fractions step by step

Learn fractions in 10 levels, from halves and quarters to dividing fractions, with a 5-question test for each level.

πŸ§’ Kids: tap Start level β–Ά and get 4 of 5 right to pass. Can you reach level 10? πŸ†

For parents and teachers ↓

Which level for which grade?

There are 10 levels, from halves and quarters to dividing fractions and changing them to decimals. Each level has short lessons and a 5-question test; get 4 right to pass. Progress is saved on this device, so your child can come back and carry on.

LevelSkillGrade
1Halves and quarters1–2
2Naming fractions3
3Fractions on a number line3
4Equivalent and simplest form3–4
5Comparing and ordering3–4
6Mixed numbers4
7Adding and subtracting4–5
8Mixed number sums4–5
9Multiplying4–5
10Dividing and decimals5–6

How to use the levels

  1. Find the starting level. Take the tests from level 1 until your child scores under 4. That is the level to work on.
  2. Learn it. Open the Learn links for that level: each lesson has pictures, a parent script and practice.
  3. Practice for a few days. Use the tools on the lesson pages and the fraction practice tool.
  4. Retake the test. 4 out of 5 passes the level. Move on to the next one.

Level 4, equivalent fractions, is the one to take slowly. Comparing, adding with unlike denominators, simplifying and decimals all depend on it.

Why the levels are in this order

Each level uses the one before it. Equal parts and naming (levels 1 and 2) give fractions their meaning, and the number line (level 3) shows them as numbers with a size.

Equivalent fractions (level 4) make comparing (level 5) possible, and both are needed for adding and subtracting with unlike denominators (level 7). Mixed numbers (level 6) come before mixed number sums (level 8).

Multiplying (level 9) builds on fractions of a number, and dividing (level 10) builds on multiplying. When a child is stuck at a high level, the cause is usually a gap lower down, very often level 4.

Tools that help with every level

The fraction wall makes equivalent fractions and comparing visible: shade pieces and see which rows line up. The fraction calculator shows every step of adding, subtracting, multiplying and dividing, so children can check their own work.

Strong times tables help more than anything else from level 4 on. Finding a common denominator or simplifying is really a times table question, so keep the multiplication practice going alongside.

More fraction practice

For teachers

The levels work on a projector for a whole-class warm-up. Progress is saved only in each device’s browser, so no login or student data is needed. On shared computers, use Reset my progress at the end of the lesson.

Practice questions (answers below)

Ask these out loud or write them down. Check each answer, and ask β€œhow did you get that?” for one or two.

  1. Level 1: half of 12
  2. Level 2: 3 of 8 parts shaded
  3. Level 3: the point 2 of 5 jumps from 0
  4. Level 4: 2/3 = ?/12
  5. Level 5: 3/5 or 2/3?
  6. Level 6: 11/4 as a mixed number
  7. Level 7: 1/2 + 1/3
  8. Level 8: 3 1/4 βˆ’ 1 3/4
  9. Level 9: 2/3 Γ— 3/4
  10. Level 10: 3/4 Γ· 1/8
Show the answers
  1. 6
  2. 3/8
  3. 2/5
  4. 8
  5. 2/3
  6. 2 3/4
  7. 5/6
  8. 1 1/2
  9. 1/2
  10. 6

Common mistakes

Skipping levelsJumps to level 7 with shaky equivalent fractions.Fix: pass level 4 first; everything later depends on it.
Retaking without learningRetakes the test again and again.Fix: open the Learn links between tries.
Moving on too fastMoves on after one lucky pass.Fix: pass the test on two different days.

How to teach it at home

Level chart

Print a chart of 10 boxes and colour one each time a level is passed.

Celebrate

A small reward at levels 5 and 10.

Keep it visual

Fold paper strips for any level that feels hard.

By grade

Check every topic at once

The free math check-up tests every topic of one grade in 10 to 20 minutes. It shows which topics are solid and where to start practicing. Levels you pass here also appear on your progress page.

Worksheets and practice

Equivalent fractions worksheet, page 1

Equivalent fractions worksheet: printable PDF with an answer key. Β· Make a fresh test

Fractions quiz

Last reviewed

Questions parents ask

How do you learn fractions step by step?

Start with equal parts, halves and quarters, then name fractions and put them on a number line. Next come equivalent fractions and comparing, then mixed numbers, adding and subtracting, multiplying and finally dividing.

What is the hardest part of learning fractions?

Usually equivalent fractions and common denominators, then subtracting mixed numbers with borrowing and dividing fractions. Levels 4, 7, 8 and 10 focus on these.

How long does it take to learn fractions?

Fractions are spread over grades 3 to 6. Most children move through about two or three levels a year with short daily practice.

Is progress saved?

Yes, passed levels are saved in this browser on this device. Nothing is sent to us.

Should my child know times tables before fractions?

For levels 1 to 3, no. From level 4 on, yes: equivalent fractions, common denominators and simplifying all use times tables facts.