Question

What is the LCD for the fractions 3/16 and 11/24?

A. 24

B. 40

C. 48

D. 384

Answer 1

LCD is the Lowest Common Multiple in the Denominator.

so, i'm looking at two numbers 16, and 24
i'm going to break them down into their smallest prime numbers

16 = 4*4
or = 2*2*2*2

24 = 12*2
or = 6*2*2
or = 2*3*2*2

now i count how many times 2 shows up in each number.
in 16 it shows up 4 times
in 24 it show ups 3 times.

now i count up how many times 3 shows up in each number
in 16 it shows up 0 times
in 24 it shows up 1 time.

now I take the max number 2 occurs and 3 occurs, that is four 2's and one 3 to get my LCD:
2*2*2*2*3

Answer 2

48