Equivalent Fraction Links Game
Pair exact fraction values with expanded numerators and denominators; use every card exactly once.
Math puzzle challenges
Loading fraction challenge…
Instructions, device progress and accessibility
Choose Practice or UTC Daily mode and select a difficulty. Use keyboard, touch, Tab, and Enter with the controls. Wrong checks reduce score; Hint and Undo mark assisted rounds. There is no required sign-in, and results remain on this device.
Local progress is checked when play begins.
Equivalent Fraction Links — Rules, Examples and Help
Pair exact fraction values with expanded numerators and denominators; use every card exactly once.
How to play Equivalent Fraction Links
Read the cards on the left and the cards on the right. Each left card has precisely one equal-valued partner among the displayed right cards. Use the selector beside each left card to connect it to a right-hand lettered card. A right card cannot be used twice. When all links are chosen, select Check answer. The puzzle is finished only when every fraction matches an equivalent value and every destination is used exactly once.
Recognizing equivalent fractions
Equivalent fractions may look different but have the same numerical value. For example, 2/3 and 8/12 both equal two-thirds because the numerator and denominator are multiplied by four. The relationship can also be checked by cross multiplication: 2 × 12 and 8 × 3 both equal 24. This exact rule works even when the fractions are improper and greater than one. The size of the printed numerator alone does not tell you which fraction is larger.
Why you should reduce before matching
Simplifying both sides to lowest terms often makes comparisons easier. For example, 9/15 simplifies to 3/5 and 12/20 also simplifies to 3/5; those cards make a pair. Another useful technique is checking easy denominators first. If one fraction has denominator 7 and its candidate has denominator 21, ask whether both the numerator and denominator were tripled. If only one of them changed, the value is different.
Harder levels and valid answers
Easy rounds give three pairs. Normal rounds give four, and Hard rounds give five. The letters identify cards, not answers. Selectors let keyboard and touch users connect the same cards. Exact comparisons are used rather than decimal rounding, so values such as one third are not incorrectly handled through a short approximate decimal. Any correct one-to-one matching is accepted, and hints show a valid link.
Common questions
Can I select the same right card twice? You may try, but the checker will reject duplicate destinations. Must I simplify the fractions in my head? No, cross multiplication is an equally valid technique. Can the answer include improper fractions? Yes. Do I need a timer? No. These are learning and accuracy games, and optional daily play is for practice consistency.