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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Extra Insights
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.
