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? type your response into the box below.

1 answer

To find out how many weeks it will take for Jiani and Rosa to get paid at the same time, we need to find the least common multiple (LCM) of 9 and 12.

The prime factors of 9 are 3 * 3.
The prime factors of 12 are 2 * 2 * 3.

To find the LCM, we take the highest power of each prime factor:
2 * 2 * 3 * 3 = 36.

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