Which diagram represents a fraction equivalent to 40%?

Question

A grid model with 25 squares. 10 squares are shaded.
A grid model with 25 squares. 8 squares are shaded.
A grid model with 40 squares. 10 squares are shaded.
A grid model with 40 squares. 14 squares are shaded.

Answer 1

To find the fraction that is equivalent to 40%, we first convert 40% to a fraction.

40% can be written as \( \frac{40}{100} \) which simplifies to \( \frac{2}{5} \).

Now, let's analyze each option:

1. A grid model with 25 squares. 10 squares are shaded.

   • \( \frac{10}{25} = \frac{2}{5} = 40% \) (This is equivalent to 40%)

2. A grid model with 25 squares. 8 squares are shaded.

   • \( \frac{8}{25} \) (This is not equivalent to 40%)

3. A grid model with 40 squares. 10 squares are shaded.

   • \( \frac{10}{40} = \frac{1}{4} = 25% \) (This is not equivalent to 40%)

4. A grid model with 40 squares. 14 squares are shaded.

   • \( \frac{14}{40} = \frac{7}{20} \) (This is not equivalent to 40%)

Thus, the diagram that represents a fraction equivalent to 40% is the first option: A grid model with 25 squares, 10 squares are shaded.