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I see that you've uploaded a worksheet focusing on the multiplication and division of fractions. I'll go through the problems and provide the answers. 

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**1.**  
\[
\frac{5}{12} \times \frac{1}{10} = \frac{5}{120} = \frac{1}{24}
\]
The fraction of students in class 6a is \( \frac{1}{24} \).

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**2.**  
\[
\text{a)} \frac{3}{9} \times \frac{2}{4} = \frac{6}{36} = \frac{1}{6}
\]
\[
\text{b)} \frac{14}{9} \div \frac{6}{7} = \frac{14}{9} \times \frac{7}{6} = \frac{98}{54} = \frac{49}{27}
\]
\[
\text{c)} \frac{17}{18} \times \frac{28}{51} = \frac{476}{918} = \frac{238}{459}
\]
\[
\text{d)} \frac{7}{9} \div \frac{2}{4} = \frac{7}{9} \times \frac{4}{2} = \frac{28}{18} = \frac{14}{9}
\]
\[
\text{e)} \frac{10}{7} \times \frac{2}{8} = \frac{20}{56} = \frac{5}{14}
\]
\[
\text{f)} \frac{8}{37} \times \frac{20}{15} \times \frac{7}{12} = \frac{1120}{6660} = \frac{56}{333}
\]
\[
\text{g)} \frac{2}{5} \times \frac{4}{1} = \frac{8}{5}
\]
\[
\text{h)} \frac{2}{3} \div \frac{3}{8} = \frac{2}{3} \times \frac{8}{3} = \frac{16}{9}
\]
\[
\text{i)} \frac{5}{4} \div 5 = \frac{5}{4} \times \frac{1}{5} = \frac{1}{4}
\]
\[
\text{j)} \frac{5}{7} \times \frac{3}{5} = \frac{15}{35} = \frac{3}{7}
\]
\[
\text{k)} \frac{7}{8} \times 1 = \frac{7}{8}
\]
\[
\text{l)} \frac{1}{3} \div \frac{1}{3} = 1
\]

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**3.** Simplifying results (working in mixed numbers or simpler forms where necessary):

\[
\text{a)} \frac{18}{15} = 1 \frac{3}{15} = 1 \frac{1}{5}
\]
\[
\text{b)} \frac{25}{24} = 1 \frac{1}{24}
\]
\[
\text{c)} \frac{14}{8} = 1 \frac{6}{8} = 1 \frac{3}{4}
\]
\[
\text{d)} \frac{5}{4} \div 1 = 1 \frac{1}{4}
\]

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**4.** Perform mixed fraction calculations:

\[
\frac{18}{15} \div \frac{1}{25} = \frac{18}{15} \times \frac{25}{1} = \frac{450}{15} = 30
\]
\[
\frac{14}{8} = 1 \frac{3}{4}
\]

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**5.** Solve the following:

\[
\frac{75}{8} \times \frac{2}{25} = \frac{150}{200} = \frac{3}{4}
\]

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**6.** 

\[
\frac{2}{3} \times 36 = 24 \, \text{ha}
\]

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Would you like to go over any specific steps in more detail or need further clarification? Here are some additional practice questions to help reinforce the topic:

1. Simplify: \( \frac{15}{18} \times \frac{6}{5} \).
2. Divide: \( \frac{8}{9} \div \frac{4}{7} \).
3. Multiply and simplify: \( \frac{3}{4} \times \frac{8}{9} \).
4. Convert the fraction \( \frac{25}{16} \) to a mixed number.
5. If \( \frac{2}{5} \) of a field is planted, how much is unplanted?

**Tip**: Always remember to simplify fractions at the end of your calculations to their lowest terms!

Multiplikation und Division von Brüchen (Multiplication and Division of Fractions)

Solve multiplication and division problems involving fractions. Includes mixed numbers and simplifications, suitable for students in Grades 6-8. Example problems cover topics such as multiplying and dividing fractions, converting mixed numbers, and simplifying results.

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