Least common denominator of 9/4 and 5/6

12

Step-by-step explanation:

We want the smallest possible number that can be divided by both 4 and 6 with no remainders.

12 is the least common multiple (LCM) of both 4 and 6, meaning it's the smallest number that 4 and 6 both divide into evenly.

24 could be used as a common denominator, but it isn't the least common denominator. It has more prime factors than is necessary to be the LCD.

12, when its prime factorization is written out, is 2² • 3.

24, when its prime factorization is written out, is 2³ • 3.

9/4 → (9•3)/(4•3) → 27/12

5/6 → (5•2)/(6•2) → 10/12

something over 10 so ? /10

step-by-step explanation: