Elijah and Riley are playing a board game. Elijah chooses the dragon for his game piece, and Riley chooses the cat for hers.

Question

The dragon is about 1/2
inch tall, and the cat is about 7/8
inch tall.
The model shows how the heights of the game pieces are related.

Two bars are shown directly next to each other from left to right. The left bar is labeled "one-half" and the right bar is labeled h. Above the bars is a bracket spanning the length of both bars. Above the bracket is a label "seven-eighths inches tall."

How much taller is the cat than the dragon?

(1 point)
Responses

14
in.

1 4 in.

38
in.

3 8 in.

12
in.

1 2 in.

138
in.

Answer 1

To determine how much taller the cat is than the dragon, we need to subtract the height of the dragon from the height of the cat.

The height of the dragon is \( \frac{1}{2} \) inch, and the height of the cat is \( \frac{7}{8} \) inch.

To perform the subtraction, we can first convert \( \frac{1}{2} \) into a fraction with a denominator of 8, so that both fractions can be easily compared.

\[ \frac{1}{2} = \frac{4}{8} \]

Now we can subtract the height of the dragon from the height of the cat:

\[ \frac{7}{8} - \frac{4}{8} = \frac{3}{8} \]

Thus, the cat is \( \frac{3}{8} \) inch taller than the dragon.

The correct response is:

3 8 in.