To solve \( \frac{6}{7} \times \frac{3}{12} \), you can multiply the numerators together and the denominators together:

\[
\frac{6}{7} \times \frac{3}{12} = \frac{6 \times 3}{7 \times 12} = \frac{18}{84}
\]

Next, simplify the fraction \( \frac{18}{84} \). The greatest common divisor (GCD) of 18 and 84 is 6, so divide both the numerator and the denominator by 6:

\[
\frac{18 \div 6}{84 \div 6} = \frac{3}{14}
\]

So, the simplified result is \( \frac{3}{14} \).

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you simplify a fraction to its lowest terms?
2. What are the steps to multiply mixed numbers?
3. How can you find the GCD of two numbers?
4. What is the difference between multiplying and dividing fractions?
5. How do you multiply fractions by whole numbers?

**Tip:** Always simplify your fractions after multiplying to get the final answer in its lowest terms.

Learn how to multiply and simplify fractions with a detailed step-by-step solution. This problem involves multiplying fractions 6/7 and 3/12 and then simplifying the result to its lowest terms. Suitable for students in Grades 5-7.

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