Multiply. Simplify your answer and write it as a mixed number.

5 3/4* 1 3/4

To multiply mixed numbers, we first convert them into improper fractions.

5 3/4 can be written as (4*5 + 3)/4 = 23/4
1 3/4 can be written as (4*1 + 3)/4 = 7/4

Multiplying these two fractions, we get (23/4) * (7/4) = 161/16

Now, we can simplify this fraction. We find that 161 is divisible by 7, so we can simplify the fraction further: (161/7) / (16/7) = 23/1.

Therefore, the simplified answer is 23/1, which can be written as a mixed number as 23.