# Matching Fractions Decimals Percentages

##### Stage: 2 and 3 Challenge Level:

The cards come in pairs and you start with 100 points. You click on
two cards to flip them over, if they match you win 50 points, if
not you lose 5 points for each card. Try again. Remember where the
different numbers are so that you can match each card with its
partner. The game finishes when you have matched all the
pairs.

### The Maths is in the Matching

The numbers on these cards are represented by fractions or by
decimals or by percentages and you have to match two
representations of the same number.

One third is the number you get when you divide one by three.
One third can be represented in all the following different
ways:

$$\frac{1}{3} \mbox{ or as an equivalent fraction e.g. }
\frac{3}{9} \mbox{ or } \frac{5}{15}$$

$$0.3333... = 0.3 \mbox{ recurring } = 0.\bar{3}$$

$$33 \frac{1}{3} \%$$