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The problem asks for the expression that represents dividing 42 students into 7 equal groups. This is a simple division problem where we divide 42 by 7.

The correct expression would be \( 42 \div 7 \), which can be represented as:

\[
\frac{42}{7}
\]

Looking at the options:

1. **\( \frac{42}{7} \)** (First option) – This is the correct representation because it shows 42 divided by 7.
2. **\( 7 \div 42 \)** – This is incorrect as it suggests dividing 7 by 42, which doesn't match the problem.
3. **\( \frac{7}{42} \)** – Again, this is incorrect as it inverts the division, dividing 7 by 42.
4. **\( 7 \div 42 \)** (Repeated but in fraction form) – Incorrect for the same reason as above.

The correct answer is the **first option**.

Would you like more details, or have any questions about this?

Here are 5 related questions:
1. How do you divide a number into equal groups?
2. What happens if you invert the numbers in division?
3. How do you write division in fraction form?
4. Can a division problem also be written as multiplication?
5. What are the other ways to express division besides a fraction?

**Tip:** Always remember that in a division expression \( a \div b \), the number \( a \) is what is being divided, and \( b \) is the number of groups or parts.

Which of the following expressions would represent a class of 42 students divided equally into 7 groups?

Learn how to divide 42 students equally into 7 groups using the division expression 42 ÷ 7. This problem covers basic division concepts and fractions. Suitable for students in Grades 4-6.

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