MENUCali Matches Fractions – Equal Fractions and Mixed Numbers Game
Cali has 12 cards with fractions, mixed numbers and pictures. Find the 6 pairs of equal numbers: put two cards on the scale and press Compare. If the numbers are not equal, the scale tips toward the greater one and a number line shows where both of them lie.
How to play
- Put two cards on the scale: tap a card and it goes to the empty pan; tap a card on the scale to take it back. You can also drag the cards.
- Press Compare. If the two numbers are equal, the pair goes to your shelf. If not, the scale tips toward the greater one and the number line shows where both values lie.
- Find all 6 pairs. The fewer wrong comparisons, the more stars: a pair found at the first try gives 2 points, after one wrong comparison 1 point. 11 or 12 points earn 3 stars, 8 to 10 points earn 2 stars.
- Hint: Cali points at a card and you look for the card that is equal to it. A pair found after a hint gives at most 1 point.
- Two modes, 8 levels each: in “Fractions” the numbers greater than 1 are written as improper fractions ($\frac{5}{4}$), in “Mixed numbers” as mixed numbers ($1\frac{1}{4}$). Every level is open from the start.
- Timer: turn it on to play against the clock. Your stars and your best time for every level are saved in this browser.
- Keyboard: Tab or the arrow keys move between the cards, Enter or Space puts a card on the scale or takes it back, C compares, H asks for a hint and Esc returns to the levels.
What the game teaches
Equal fractions. The same number can be written in many ways: $\frac{1}{2} = \frac{2}{4} = \frac{3}{6}$. Multiplying or dividing the numerator and the denominator by the same number does not change a fraction.
Improper fractions and mixed numbers. A fraction greater than 1 can be written as an improper fraction or as a mixed number: $\frac{7}{4} = 1\frac{3}{4}$, because $\frac{7}{4} = \frac{4}{4} + \frac{3}{4}$.
Comparing fractions. To compare two fractions, bring them to a common denominator, or check with cross-multiplication: $\frac{2}{3} > \frac{3}{5}$ because $2 \times 5 = 10 > 3 \times 3 = 9$.
Pictures. The pictures show the same numbers: a pie, a bar, a grid of squares, a set of tokens, a hexagon or a point on a number line. Every whole is cut into equal parts and some of them are shaded. In one round all the wholes have the same size, so you can also compare by eye.
Fraction Calculators with Steps