What is 5/6 of 3 days in hours?
Understand the Problem
The question asks to calculate 5/6 of 3 days and express the result in hours. We need to convert the days into hours and then find the value of 5/6 of the total working hours.
Answer
60
Answer for screen readers
60
Steps to Solve
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Convert days to hours Since there are 24 hours in a day, 3 days is equal to $3 \times 24$ hours. $$3 \times 24 = 72 \text{ hours}$$
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Calculate 5/6 of the total hours Now we need to find $\frac{5}{6}$ of 72 hours. $$ \frac{5}{6} \times 72 = \frac{5 \times 72}{6} $$
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Simplify the fraction We can simplify by dividing 72 by 6. $$ 72 \div 6 = 12$$ So, the equation becomes: $$\frac{5 \times 72}{6} = 5 \times 12$$
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Multiply to find the final answer Finally, multiply 5 by 12. $$ 5 \times 12 = 60 $$
60
More Information
The answer is 60 hours. This represents $\frac{5}{6}$ of 3 days.
Tips
A common mistake is to calculate $\frac{5}{6}$ of 3 first, without converting days to hours. This would give you the answer in days, not hours. Another mistake is to multiply 3 by $\frac{5}{6}$ and then multiply by 24. Although this will give the correct answer, it is more prone to error, as it inverses the correct order of arithmetic operations.
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