Multiplying Fractions: 1 1/3 x 6/7
To multiply fractions, we follow these steps:

Convert mixed numbers to improper fractions.
 In this case, 1 1/3 is equal to (1*3 + 1)/3 = 4/3.

Multiply the numerators (top numbers).
 4/3 x 6/7 = (4 * 6)

Multiply the denominators (bottom numbers).
 4/3 x 6/7 = (4 * 6) / (3 * 7)

Simplify the result.
 (4 * 6) / (3 * 7) = 24/21

Reduce the fraction to its simplest form.
 24/21 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3. This gives us 8/7.
Therefore, 1 1/3 x 6/7 is equal to 8/7.
Note: This result can also be expressed as a mixed number: 1 1/7.