How do i use an area model to explain the product of 4.6 and 3?

Area model is one of a simple step to understand the given situation. So to make it simple, we need to decompose the number.
given number = 4.6 and 3

First we need to get the whole number and start multiplying:
Whole number of 4.6 => 4
whole number of 3 => 3

Now, let’s start multiplying the whole number
=> 4 x 3
=> 12
Then let’s multiply the remaining decimal:
=> .6 x 3
=> 1.8
Then add
=> 12 + 1.8
= 13.8

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

the answer is 18.