Visual Representation of the Fraction 25/15: Choose the Correct Diagram

To solve this problem, we need to find the visual representation corresponding to the fraction $\frac{25}{15}$.

• First, we simplify the fraction $\frac{25}{15}$. To do this, find the greatest common divisor (GCD) of 25 and 15.
• Upon using the Euclidean algorithm, we find that the GCD of 25 and 15 is 5.
• We divide both the numerator and the denominator of $\frac{25}{15}$ by 5: $\frac{25 \div 5}{15 \div 5} = \frac{5}{3}$.

The simplified fraction $\frac{5}{3}$ is an improper fraction, which means it can be expressed as a mixed number: $1\frac{2}{3}$.

Visually, $\frac{5}{3}$ means 1 full unit and $\frac{2}{3}$ of another unit. The visual representation will show at least one full portion and a part of another.

By reviewing the visual options provided, the correct representation is the one displaying shaded portions that sum up to one whole and two-thirds of another, which is given by option 2. Therefore, the solution to the problem is the visual representation found in choice 2.

Thus, the correct answer is the option that displays option 2.