Question

welcome to the game show, \which is greater?\ choose the card that shows the greater value.

Explanation:

Step1: Analyze the first card

The first rectangle is divided into 4 equal parts, and 3 parts are shaded. So the fraction represented is $\frac{3}{4}$.

Step2: Analyze the second card

The second rectangle is also divided into 4 equal parts, and 2 parts are shaded. So the fraction represented is $\frac{2}{4}$.

Step3: Compare the two fractions

Since the denominators are the same, we compare the numerators. $3 > 2$, so $\frac{3}{4} > \frac{2}{4}$.

Answer:

The first card (the one with 3 shaded parts out of 4) shows the greater value.