To divide the fraction \( \frac{1}{7} \) by \( \frac{10}{21} \), you need to multiply \( \frac{1}{7} \) by the reciprocal of \( \frac{10}{21} \).

So, you rewrite the problem as:

\[
\frac{1}{7} \div \frac{10}{21} = \frac{1}{7} \times \frac{21}{10}
\]

Now, multiply the fractions:

\[
\frac{1 \times 21}{7 \times 10} = \frac{21}{70}
\]

Next, simplify the fraction \( \frac{21}{70} \) by dividing both the numerator and the denominator by 7:

\[
\frac{21}{70} = \frac{3}{10}
\]

Thus, the result of \( \frac{1}{7} \div \frac{10}{21} \) is \( \frac{3}{10} \).

Would you like further clarification or any more questions? Here are a few related questions to explore:

1. How do you multiply fractions?
2. What is the reciprocal of a fraction?
3. How do you simplify fractions?
4. What are the steps for dividing mixed numbers?
5. What is the rule for dividing fractions by fractions?

Tip: When dividing fractions, remember to multiply by the reciprocal of the divisor!

Learn how to divide fractions with a step-by-step solution for dividing 1/7 by 10/21. This solution covers the concept of reciprocals and fraction simplification, making it easy for students in Grades 6-8 to understand.

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