Let's first simplify 6 times 2/3. When we multiply fractions, we simply multiply the numerators by the numerators and the denominators by denominators. Therefore, we have,
6/1*2/3 = 12/3, which can be simplified to 4/1 = 4.
Now, it's a question of whether four is less than, less than or equal to, greater than, or greater than or equal to 6. Because four is not equal to or greater than 6, it must be less than.