https://file.aiquickdraw.com/mathbot/file/17277948371618uigtw7z.jpg

The expression provided is:

\[
\frac{\frac{5}{14}}{\frac{2}{7}}
\]

### To simplify:

1. **Rewrite the division of fractions**: Dividing by a fraction is the same as multiplying by its reciprocal. So, we change the division to multiplication by flipping the second fraction:

\[
\frac{5}{14} \div \frac{2}{7} = \frac{5}{14} \times \frac{7}{2}
\]

2. **Multiply the fractions**: Multiply the numerators together and the denominators together:

\[
\frac{5 \times 7}{14 \times 2} = \frac{35}{28}
\]

3. **Simplify the resulting fraction**: Both 35 and 28 have a common factor of 7, so divide both by 7:

\[
\frac{35}{28} = \frac{5}{4}
\]

Thus, the simplified form of the expression is:

\[
\frac{5}{4} \quad \text{or} \quad 1\frac{1}{4}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \(\frac{\frac{3}{8}}{\frac{5}{12}}\).
2. Simplify \(\frac{7}{20} \div \frac{3}{5}\).
3. Multiply and simplify \(\frac{4}{9} \times \frac{3}{7}\).
4. Simplify \(\frac{2}{3} \div \frac{1}{4}\).
5. What is the reciprocal of \(\frac{11}{15}\)?

**Tip:** Always remember to simplify fractions at the end by dividing both the numerator and denominator by their greatest common factor (GCF).

Simplify: \(\frac{\frac{5}{14}}{\frac{2}{7}}\)

Learn how to simplify the fraction expression \(\frac{5}{14} \div \frac{2}{7}\). This problem covers the key mathematical concept of dividing fractions by multiplying by the reciprocal, along with step-by-step simplification. Suitable for students in Grades 6-8.

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