Which model represents a fraction greater than Three-fifths?

Question

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

Answer 1

To determine which model represents a fraction greater than three-fifths (3/5), we need to analyze the shaded parts in each option relative to the total number of parts.

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

   • Fraction: 1/5
   • This is less than 3/5.

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

   • Fraction: 5/10, which simplifies to 1/2
   • This is less than 3/5.

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

   • Fraction: 2/6, which simplifies to 1/3
   • This is less than 3/5.

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

   • Fraction: 8/10, which simplifies to 4/5
   • This is greater than 3/5.

Based on this analysis, the fourth option (A circle divided into 10 equal parts with 8 parts shaded) represents a fraction greater than three-fifths.