What is the LCD of (5)/(12) and -(9)/(16)

Question

What is the LCD of
`(5)/(12)` and -
`(9)/(16)`

Answer 1

again, let's take a peek to our denominators.

12 = 2*2*3

16 = 2*2*2*2

now, 2*2 is there in each number as factors, so we'll use it only once, not twice, after that we have a 3, a 2 and another 2.

`\bf \stackrel{once}{2\cdot 2}\cdot 3\cdot 2\cdot 2\implies \boxed{48}`