(3)/(10)times (6)/(7)

<p> <br />1. The question requires the multiplication of two fractions: \( \frac{3}{10} \) and \( \frac{6}{7} \).<br />2. To multiply two fractions, multiply the numerators (the top numbers) together and then multiply the denominators (the bottom numbers) together.<br />3. Multiplying the numerators: \( 3 \times 6 = 18 \).<br />4. Multiplying the denominators: \( 10 \times 7 = 70 \).<br />5. This gives the fraction \( \frac{18}{70} \).<br />6. However, this fraction can be simplified. Both the numerator and the denominator have a common factor of 2.<br />7. Dividing both the numerator and the denominator by 2, we get \( \frac{9}{35} \).<br />8. Therefore, \( \frac{3}{10} \times \frac{6}{7} = \frac{9}{35} \).<br /></p>