1. The problem involves interpreting fractions represented by colored parts of shapes and bars. 2. Each shape or bar is divided into equal parts, and the colored parts represent the numerator while the total parts represent the denominator. 3. For example, a bar divided into 10 parts with 8 parts colored orange represents the fraction $\frac{8}{10}$. 4. Similarly, a star with 4 out of 6 points filled represents $\frac{4}{6}$. 5. To compare or add these fractions, we can simplify or find common denominators. 6. Simplify $\frac{8}{10}$ by dividing numerator and denominator by 2: $$\frac{8}{10} = \frac{4}{5}$$ 7. Simplify $\frac{4}{6}$ by dividing numerator and denominator by 2: $$\frac{4}{6} = \frac{2}{3}$$ 8. For the bar with 7 parts filled out of 10, the fraction is $\frac{7}{10}$. 9. For the triangle with 4 out of 6 parts colored, the fraction is $\frac{4}{6} = \frac{2}{3}$. 10. For the octagon with 5 out of 8 parts colored, the fraction is $\frac{5}{8}$. 11. For the rectangular bar with 7 out of 9 parts colored, the fraction is $\frac{7}{9}$. 12. For the circle with 7 out of 8 parts colored, the fraction is $\frac{7}{8}$. 13. For the pentagon with 4 out of 5 parts colored, the fraction is $\frac{4}{5}$. 14. For the square with 3 out of 4 parts colored, the fraction is $\frac{3}{4}$. 15. These fractions represent the colored portions of each shape or bar. Final answer: The fractions represented by the colored parts are $\frac{8}{10} = \frac{4}{5}$, $\frac{5}{10} = \frac{1}{2}$, $\frac{4}{6} = \frac{2}{3}$, $\frac{7}{10}$, $\frac{4}{6} = \frac{2}{3}$, $\frac{5}{8}$, $\frac{7}{9}$, $\frac{7}{8}$, $\frac{4}{5}$, and $\frac{3}{4}$ respectively.