To determine which fractions name the green part of the model, we first note that there are 12 equal parts in total and 8 of those parts are shaded green. Therefore, the fraction representing the green part is:
\[ \frac{8}{12} \]
To find the equivalent fractions of \(\frac{8}{12}\), we can simplify it. Dividing both the numerator and the denominator by 4 gives:
\[ \frac{8 \div 4}{12 \div 4} = \frac{2}{3} \]
Now, let's check the options provided to see which ones represent \(\frac{8}{12}\) or its equivalent.
- \( \frac{1}{3} \) → Not equivalent
- \( 1 \frac{3}{6} \) → Not equivalent
- \( \frac{2}{6} \) → Not equivalent
- \( \frac{2}{3} \) → Equivalent (this is correct)
- \( \frac{3}{4} \) → Not equivalent
- \( \frac{4}{6} \) → Let's simplify: \(\frac{4 \div 2}{6 \div 2} = \frac{2}{3}\) → Equivalent (this is correct)
Thus, the fractions that name the green part of the model are:
- \( \frac{2}{3} \)
- \( \frac{4}{6} \)
You should select:
- \( \frac{2}{3} \)
- \( \frac{4}{6} \)