Jiani gets paid for a job every 9 weeks and Rosa gets paid for a job every 12 weeks. How many weeks will it take for them to get paid at the same time

Answer 1

To find out when they will get paid at the same time, we need to find the least common multiple (LCM) of 9 and 12.

Prime factorize 9: 3 * 3
Prime factorize 12: 2 * 2 * 3

The LCM of 9 and 12 is the product of the highest power of each prime factor:
LCM = 2 * 2 * 3 * 3 = 36

Thus, it will take them 36 weeks to get paid at the same time.