Multiply; then reduce to lowest terms

5 1/2 • 3/4

Is the correct answer 4 1/8 ?

Right.

Could you please expalin how you got this answer?

To multiply these fractions, follow these steps:

Step 1: Convert the mixed number to an improper fraction.
5 1/2 can be written as (5 * 2 + 1) / 2 = 11/2

Step 2: Multiply the two fractions.
11/2 * 3/4 = (11 * 3) / (2 * 4) = 33/8

So, the product of 5 1/2 and 3/4 is 33/8.

To reduce this fraction to its lowest terms, find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by the GCD.

The GCD of 33 and 8 is 1, since they have no common factors other than 1.

Therefore, the fraction 33/8 is already in its reduced form.

Thus, the correct answer is 33/8, not 4 1/8.