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The given expression is a complex fraction:

\[
\frac{\frac{1}{3}}{\frac{10}{7}}
\]

To simplify this, we will multiply by the reciprocal of the denominator. The steps are as follows:

1. **Rewrite the expression**:  
\[
\frac{1}{3} \div \frac{10}{7}
\]

2. **Multiply by the reciprocal**:  
\[
\frac{1}{3} \times \frac{7}{10}
\]

3. **Multiply the numerators and denominators**:  
\[
\frac{1 \times 7}{3 \times 10} = \frac{7}{30}
\]

The simplified expression is:

\[
\frac{7}{30}
\]

This fraction is already in its simplest form.

Would you like further clarification or details? 

Here are 5 related questions:
1. How do you simplify a complex fraction in general?
2. What is the meaning of "reciprocal" in fraction division?
3. Can you explain the steps involved in multiplying fractions?
4. How do you know when a fraction is fully simplified?
5. What is a real-world example of dividing fractions?

**Tip**: Always check if a fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.

Simplify the complex fraction (1/3) ÷ (10/7).

Learn how to simplify the complex fraction (1/3) ÷ (10/7) using multiplication by the reciprocal. This step-by-step guide covers key concepts such as reciprocals and fraction multiplication, suitable for students in Grades 5-7.

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