The product of \(\frac{8}{14}\) and \(\frac{3}{10}\) is:

\[
\frac{8}{14} \times \frac{3}{10} = \frac{8 \times 3}{14 \times 10} = \frac{24}{140}
\]

Now, simplify \(\frac{24}{140}\) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{24}{140} = \frac{24 \div 4}{140 \div 4} = \frac{6}{35}
\]

So, the simplified result is:

\[
\frac{6}{35}
\]

Would you like more details on how to find the GCD or anything else?

Here are some related questions for practice:
1. What is the product of \(\frac{5}{12}\) and \(\frac{7}{9}\)?
2. How do you simplify \(\frac{15}{45}\)?
3. Multiply \(\frac{11}{21}\) by \(\frac{2}{5}\) and simplify.
4. What is \(\frac{9}{16} \times \frac{3}{4}\)?
5. Simplify \(\frac{6}{18} \times \frac{14}{15}\).

**Tip**: Always simplify fractions at the end of a multiplication to find the most reduced form.

Learn how to multiply fractions with the example 8/14 times 3/10, and simplify the result step-by-step. This guide explains how to multiply numerators and denominators, then simplify using the greatest common divisor (GCD). Perfect for students in Grades 6-8.

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