Question

The school day is 6 hours, 12 minutes long. Anna says that it's 6 1/5 hours. Mark says it's 6.20 hours. Can they both be correct? Explain.

a) Yes, they are both correct because 6 hours and 12 minutes is the same as 6 1/5 hours or 6.20 hours.
b) No, Anna is correct because 6 1/5 hours is more accurate than 6.20 hours.
c) No, Mark is correct because 6.20 hours is more precise than 6 1/5 hours.
d) Neither of them is correct; the school day is actually 7 hours.

Answer 1

Both Anna and Mark are correct about the school day being 6 hours, 12 minutes long. Anna expressed the time as 6 1/5 hours and Mark as 6.20 hours, which are different representations of the same length of time.

Step-by-step explanation:

To determine whether Anna or Mark is correct about the length of the school day being 6 hours, 12 minutes long, we need to convert minutes into a decimal hour. Since there are 60 minutes in an hour, we divide the 12 minutes by 60 to find the decimal equivalent of the fraction of the hour. This calculation is as follows: 12 ÷ 60 = 0.2. Therefore, 6 hours and 12 minutes is equal to 6.2 hours.

Now, let's consider Anna's claim that the school day is 6 1/5 hours long. To see if Anna is correct, we convert the fractional hours to decimal hours. 1/5 of an hour equals 0.2 when converted to decimal form because 60 (minutes per hour) × 1/5 = 12 minutes.

In conclusion, both Anna and Mark are essentially stating the same length of the school day but in different forms. Anna is using a fractional representation (6 1/5 hours), and Mark is using a decimal representation (6.20 hours). Consequently, they are both correct.

The correct answer is: a) Yes, they are both correct because 6 hours and 12 minutes is the same as 6 1/5 hours or 6.20 hours.