To solve the expression \(\frac{6}{7} \times \frac{1}{4}\), we simply multiply the numerators together and the denominators together:

\[
\frac{6}{7} \times \frac{1}{4} = \frac{6 \times 1}{7 \times 4} = \frac{6}{28}
\]

Now, we simplify the fraction \(\frac{6}{28}\) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:

\[
\frac{6 \div 2}{28 \div 2} = \frac{3}{14}
\]

So, the simplified result is:

\[
\frac{3}{14}
\]

Would you like more details, or do you have any questions?

### Related Questions:
1. How do you multiply two fractions?
2. What is the process for finding the GCD of two numbers?
3. How can you convert a fraction to a decimal?
4. How do you add fractions with different denominators?
5. What is the difference between multiplying fractions and dividing fractions?

**Tip:** When multiplying fractions, always look to simplify before multiplying to make calculations easier!

Learn how to multiply fractions and simplify the result step-by-step. This problem involves multiplying 6/7 by 1/4, followed by simplifying the fraction to its lowest terms. Suitable for students in Grades 5-8.

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