Free fraction games with bars and equal groups
Fraction Workshop lets you change a diagram and see what the numbers mean. Build a fraction, Compare two fractions and Find an equivalent use bars. Fractions of amounts uses a whole collection of counters shared into equal groups, with separate one-part and several-part routes. Each of the five routes has eight challenges and its own progress. There is no countdown, speed score, limit on attempts or automatic sound. You choose when to move on after a correct answer.
Find a fraction of an amount
To find one quarter of 12, share 12 counters into four equal groups. Each group has three counters, so one quarter of 12 is 3. To find three quarters of 12, take three of those groups: 3 × 3 = 9. The denominator tells you how many equal groups share the whole; the numerator tells you how many groups to take. Choosing three individual counters would not mean three quarters of the collection.
Choose unit fractions of amounts for one equal part of up to 24 counters, or non-unit fractions of amounts for several parts of up to 48. Select the requested number of equal groups and enter the total number of counters in those groups, then choose Check amount. Any groups work because every group has the same number of counters. The answer must be a whole number; these routes use exact sharing without remainders.
Show working explicitly reveals the current answer and explains division followed by multiplication. You still select groups and check your answer yourself. Help use is saved for the route and reported at completion. The two quantity stickers recognise finished practice, including practice with help, rather than independent mastery. Each quantity route saves separately from the three bar activities; reopen Fractions of amounts and choose the same route to continue. Direct level links choose their requested route. Existing bar progress and stickers remain.
Build a fraction
The bar is one whole, divided into equal parts. The bottom number, the denominator, tells you how many equal parts make that whole. The top number, the numerator, tells you how many to colour. To build three quarters, colour any three of four equal parts. Their positions do not change the fraction.
Challenges use halves, thirds, quarters, fifths, sixths, eighths, tenths and twelfths. They use positive fractions smaller than one. For example, one eighth describes a smaller part than one quarter when both refer to the same-sized whole.
Compare two fractions
Two bars begin at the same point and have exactly the same total length. Choose First is larger, Same amount or Second is larger. Compare the coloured lengths, rather than the number of coloured pieces alone. One half and two quarters have the same value; two thirds is larger than one half.
Some comparisons have a common denominator. Others have different denominators or represent equal amounts. Every comparison here refers to equal-sized wholes. Comparing fractions of differently sized objects would need more information.
Find an equivalent
Match a completed top bar by colouring a more finely divided bar underneath. The whole and the coloured length stay the same. When every third is split into two sixths, two thirds becomes four sixths: both the numerator and denominator are multiplied by two. The explanation shows the relationship for the current challenge.
How to play on a phone, tablet or keyboard
Choose an activity and Start. Tap or click a part to colour it, then tap it again to clear it. The large Colour one part and Clear one part controls offer another way to change the amount, especially on a small screen. With a keyboard, use Tab to reach a control and Enter or Space to use it. No dragging or precise gesture is required.
Choose Check my answer when you are ready. A choice that needs changing stays in place with guidance. Show an explanation can reveal how to solve the current challenge; help is available without a penalty. Correct answers stay visible until you choose Next challenge. After eight correct challenges, the activity awards its completion sticker.
Save unfinished work and return
The selected activity, challenge order, coloured parts, comparison choice and completed challenges save in this browser on this device when local storage is available. Opening the page returns to the activity menu; choose Continue activity to pick up the saved challenge. A different browser or cleared storage starts fresh.
Each of the five routes has a separate sticker in the sticker book. Completing another activity keeps the first one. Try a new set replaces only the completed activity’s challenges; earned stickers remain. The challenges are shuffled from a larger pool, so a new set may include some familiar questions.
If saving is unavailable, an on-screen message explains that progress lasts only while the page stays open. The favourite control saves this game to Your games on the homepage; its Continue choice uses the progress stored on this device.
Use the diagrams for a conversation
Ask what counts as one whole, how many equal parts there are, and why two different fractions can describe the same amount. These activities cover part of the fraction representation, comparison and equivalence work in England’s primary mathematics programme. They are not a complete curriculum or an assessment of independent understanding. Stickers reward completing practice, including practice with help.
The game does not teach improper fractions, mixed numbers, fraction arithmetic or decimal answers. For related number work, try Times Tables, Ten-Frame Fill or Bond Pairs. All five fraction routes are free to play without an account or installation.
For shape names and properties, try Shape Detective: recognise rotated shapes, count straight sides and corners, and sort matching diagrams.
For pounds and pence, try Money Workshop: count British coins, make different combinations and give change.