1 5/19 × (6 - 3 5/8)

To simplify the expression 1 5/19 × (6 - 3 5/8), we need to convert the mixed numbers into improper fractions.

First, let's convert the mixed number 1 5/19 into an improper fraction:

1 + 5/19 = (19/19) + 5/19 = 24/19

Next, let's convert the mixed number 3 5/8 into an improper fraction:

3 + 5/8 = (24/8) + 5/8 = 29/8

Now, let's simplify the expression:

1 5/19 × (6 - 3 5/8) = 24/19 × (6 - 29/8)

Next, let's simplify the subtraction:

6 - 29/8 = 48/8 - 29/8 = 19/8

Now we can multiply the fractions:

24/19 × 19/8

To multiply fractions, we multiply the numerators together and the denominators together:

(24 × 19) / (19 × 8) = 456/152 = 3

Therefore, 1 5/19 × (6 - 3 5/8) simplifies to 3.