Which model represents One-third?

Question

A circle divided into 10 equals parts. 5 parts are shaded.
A circle divided into 6 equals parts. 2 parts are shaded.
A circle divided into 10 equals parts. 8 parts are shaded.
A circle divided into 5 equal parts. 1 part is shaded.

Answer 1

To determine which model represents one-third, we need to look for a division that matches the fraction \( \frac{1}{3} \).

1. A circle divided into 10 equal parts. 5 parts are shaded.

   • This represents \( \frac{5}{10} \) or \( \frac{1}{2} \).

2. A circle divided into 6 equal parts. 2 parts are shaded.

   • This represents \( \frac{2}{6} \) which simplifies to \( \frac{1}{3} \).

3. A circle divided into 10 equal parts. 8 parts are shaded.

   • This represents \( \frac{8}{10} \) which simplifies to \( \frac{4}{5} \).

4. A circle divided into 5 equal parts. 1 part is shaded.

   • This represents \( \frac{1}{5} \).

Based on this analysis, the model that represents one-third is the circle divided into 6 equal parts where 2 parts are shaded.