Based on your description, it appears we are looking for a mathematical expression represented by a visual model, specifically a circle divided into parts.
From the clues provided, the model of the circle is divided into 2 equal parts, and one of those parts is further divided into 3 equal parts. Additionally, it specifies that 2 of those parts are shaded.
This can be interpreted as follows:
- The entire circle represents 1 whole.
- Dividing the circle into 2 equal parts means each part represents \( \frac{1}{2} \).
- Dividing one of those halves into 3 equal parts gives each part a value of \( \frac{1/2}{3} = \frac{1}{6} \).
- Since 2 out of those 3 parts are shaded, we have \( 2 \times \frac{1}{6} = \frac{2}{6} \).
Thus, the expression represented by this model is:
Fraction representation:
\( \frac{2}{3} \) of \( \frac{1}{2} \) equals \( \frac{2}{6} \).
Since \( \frac{2}{6} \) can be simplified to \( \frac{1}{3} \), this aligns with a clear fractional representation.
Among the response options you provided, the equivalent one based on my analysis is:
one third times one half equals 1 over 6, which actually indicates \( \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} \).
However, the shading would indicate:
=> one half times two over three equals two over twelve would be more fitting mathematically based on the original part representation.
Please confirm if you need clarification on any specific part, or which particular expression you were looking for!