Question
- Clay takes private soocer lessons every 9 days and piano lessons every * 3 pointa
6 days. In how many days will she have both piano and soccer on the
same day?
6 days. In how many days will she have both piano and soccer on the
same day?
Ask by Beck Martin. in the United States
Dec 26,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Clay will have both soccer and piano lessons on the same day after 18 days.
Solution

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To find out when Clay will have both soccer and piano lessons on the same day, we need to determine the least common multiple (LCM) of the two intervals: 9 days for soccer and 3.6 days for piano. First, convert 3.6 days to a fraction: 3.6 = 36/10 = 18/5 days. Now, the next step is to find the LCM of 9 and 18/5.
By finding a common denominator, we note that the LCM of 9 and 18 can be calculated through multiplication:
9 = 9/1, and 18/5 = 18/5. The LCM of 9 and 18 is 18. Now, we will see how many of these fit into the fractions:
The least common multiple of 9 and 3.6 days is 18 days.
9 = 9/1, and 18/5 = 18/5. The LCM of 9 and 18 is 18. Now, we will see how many of these fit into the fractions:
The least common multiple of 9 and 3.6 days is 18 days.
So Clay will have soccer and piano lessons on the same day every 18 days!
The answer is 18 days.