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The problem in the image asks to divide two fractions, \( \frac{10}{21} \div \frac{5}{7} \), using the cross-cancel strategy.

### Steps to solve:
1. **Rewrite as multiplication:** Dividing by a fraction is the same as multiplying by its reciprocal. So, we rewrite:
   \[
   \frac{10}{21} \div \frac{5}{7} = \frac{10}{21} \times \frac{7}{5}
   \]

2. **Cross-canceling:** Before multiplying, let's see if we can simplify any terms by cross-canceling common factors.
   - The 10 (numerator of the first fraction) and the 5 (denominator of the second fraction) share a common factor of 5. Dividing both by 5 gives:
     \[
     \frac{10}{5} = 2
     \]
   - The 7 (numerator of the second fraction) and the 21 (denominator of the first fraction) share a common factor of 7. Dividing both by 7 gives:
     \[
     \frac{21}{7} = 3
     \]

3. **After canceling, the expression simplifies to:**
   \[
   \frac{2}{3} \times \frac{1}{1}
   \]
   Which equals:
   \[
   \frac{2}{3}
   \]

### Final Answer:
\[
\frac{10}{21} \div \frac{5}{7} = \frac{2}{3}
\]

Would you like more details on any of these steps or how cross-canceling works?

Here are five related questions for further practice:
1. What is \( \frac{8}{15} \div \frac{4}{5} \) using cross-canceling?
2. How do you multiply two fractions without cross-canceling?
3. Can you explain why dividing by a fraction is equivalent to multiplying by its reciprocal?
4. What is the result of \( \frac{3}{7} \times \frac{2}{5} \) after simplification?
5. How would you simplify \( \frac{12}{35} \div \frac{6}{7} \) using cross-canceling?

**Tip:** When dividing fractions, always remember to flip the second fraction and then multiply. Cross-canceling helps simplify the numbers before multiplying!

What is 10/21 ÷ 5/7 using the cross-cancel strategy?

Learn how to divide fractions using the cross-cancel strategy with the example 10/21 ÷ 5/7. This guide explains the steps of rewriting the division as multiplication by the reciprocal and simplifying using cross-canceling. Ideal for students in Grades 5-7.

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