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The problem you provided asks to evaluate:

\[
\frac{6}{25} \text{ of } \frac{5}{6}
\]

The word "of" in this context indicates multiplication. So, we need to multiply the two fractions:

\[
\frac{6}{25} \times \frac{5}{6}
\]

### Step-by-step solution:

1. Multiply the numerators (top numbers): \(6 \times 5 = 30\)
2. Multiply the denominators (bottom numbers): \(25 \times 6 = 150\)

This gives us the fraction:

\[
\frac{30}{150}
\]

3. Simplify the fraction. Both the numerator and the denominator can be divided by 30:

\[
\frac{30 \div 30}{150 \div 30} = \frac{1}{5}
\]

Thus, the final answer is:

\[
\frac{1}{5}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you multiply two fractions in general?
2. Can you simplify any fraction directly during multiplication to avoid large numbers?
3. What other real-life problems can be modeled using fractions?
4. How do you divide one fraction by another?
5. How does multiplying fractions differ from adding or subtracting them?

### Tip:
When multiplying fractions, always check if you can simplify before multiplying. This can make the calculation easier and avoid dealing with large numbers.

Learn how to evaluate 6/25 of 5/6 with a clear step-by-step solution. This problem covers basic fraction multiplication and simplification, making it suitable for students in Grades 5-6.

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