Jede Form stellt ein Ganzes dar. Welchen Brüchen entsprechen die eingefärbten Teile der Formen?

Here are the fractions representing the colored parts of each shape:

• a)

  • Shape 1: There are 3 total parts, and 1 is colored. $$\frac{1}{3}$$
  • Shape 2: There are 4 total parts, and 1 is colored. $$\frac{1}{4}$$
  • Shape 3: There are 12 total parts, and 6 are colored. $$\frac{6}{12} = \frac{1}{2}$$

• b)

  • Shape 1: There are 7 total parts, and 2 are colored. $$\frac{2}{7}$$
  • Shape 2: There are 10 total parts, and 4 are colored. $$\frac{4}{10} = \frac{2}{5}$$
  • Shape 3: The triangle is divided into 16 smaller triangles. 1 is colored. $$\frac{1}{16}$$

• c)

  • Shape 1: There are 100 total squares (10x10 grid), and 50 are colored (25 in top left, 25 in bottom right). $$\frac{50}{100} = \frac{1}{2}$$
  • Shape 2: There are 100 total squares (10x10 grid), and 25 are colored (bottom right quadrant). $$\frac{25}{100} = \frac{1}{4}$$
  • Shape 3: There are 100 total squares (10x10 grid), and 25 are colored (alternating pattern). $$\frac{25}{100} = \frac{1}{4}$$

• d)

  • Shape 1 (Circle): There are 5 equal sectors, and 3 are colored. $$\frac{3}{5}$$
  • Shape 2 (Circle): There are 4 equal sectors, and 2 are colored. $$\frac{2}{4} = \frac{1}{2}$$
  • Shape 3 (Circle): There are 6 equal sectors, and 3 are colored. $$\frac{3}{6} = \frac{1}{2}$$

• e)

  • Shape 1 (Number line): The line is divided into 4 equal segments, and 3 are marked. $$\frac{3}{4}$$
  • Shape 2 (Number line): The line is divided into 5 equal segments, and 2 are marked. $$\frac{2}{5}$$
  • Shape 3 (Number line): The line is divided into 2 equal segments, and 1 is marked. $$\frac{1}{2}$$

Here are the final answers:

• a) $\boxed{\frac{1}{3}}$, $\boxed{\frac{1}{4}}$, $\boxed{\frac{1}{2}}$
• b) $\boxed{\frac{2}{7}}$, $\boxed{\frac{2}{5}}$, $\boxed{\frac{1}{16}}$
• c) $\boxed{\frac{1}{2}}$, $\boxed{\frac{1}{4}}$, $\boxed{\frac{1}{4}}$
• d) $\boxed{\frac{3}{5}}$, $\boxed{\frac{1}{2}}$, $\boxed{\frac{1}{2}}$
• e) $\boxed{\frac{3}{4}}$, $\boxed{\frac{2}{5}}$, $\boxed{\frac{1}{2}}$