Which diagram represents a fraction equivalent to 40%? 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.

The correct answer is a grid model with 25 squares where 10 squares are shaded.

Step-by-step explanation:

To solve this problem, we should convert each of the scenarios presented into fractions.  To do this, we can use the following formula: (squares shaded/total number of squares).  This gives us the following fractions:

10/25, 8/25, 10/40, 14/40

We are looking for a fraction that is equivalent to 40%.  We should convert this percentage to a decimal by dividing by 100, which gives us 40/100 = 0.4.  This means that we are looking for a decimal value of 0.4.  To convert the fractions we have to decimals, we must divide each numerator by the denominator.  If we do this, we get:

10/25 = 0.4

8/25 = 0.32

10/40 = 0.25

14/40 = 0.35

The 10/25 scenario is the only one that is equivalent to 0.4 (or 40%), thus this is the correct answer.

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