To express the ratio 6⅔ hours to 1 day in simplest form, we need to convert both quantities to the same unit. Since there are 24 hours in a day, we can convert 1 day to 24 hours.
6⅔ hours is equal to (6 + 2/3) hours.
To convert the mixed fraction to an improper fraction:
6⅔ = (6 × 3 + 2)/3 = 20/3
So, the ratio becomes:
20/3 hours : 24 hours
Now, we can simplify the ratio by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4 in this case.
(20/3) ÷ 4 : 24 ÷ 4
5/3 : 6
Therefore, the simplified ratio is 5/3 to 6.
Step-by-step explanation:
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Answer:
To express the ratio 6⅔ hours to 1 day in simplest form, we need to convert both quantities to the same unit. Since there are 24 hours in a day, we can convert 1 day to 24 hours.
6⅔ hours is equal to (6 + 2/3) hours.
To convert the mixed fraction to an improper fraction:
6⅔ = (6 × 3 + 2)/3 = 20/3
So, the ratio becomes:
20/3 hours : 24 hours
Now, we can simplify the ratio by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4 in this case.
(20/3) ÷ 4 : 24 ÷ 4
5/3 : 6
Therefore, the simplified ratio is 5/3 to 6.
Step-by-step explanation:
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