To solve this math problem, follow the order of operations: parentheses, multiplication, division, addition/subtraction (from left to right).
Let's break it down step by step:
First, let's convert all the hours and minutes into minutes:
4 hours 15 minutes = 4 * 60 + 15 = 255 minutes 2 hours 42 minutes = 2 * 60 + 42 = 162 minutes 7 hours 17 minutes = 7 * 60 + 17 = 437 minutes
Now, let's solve the expression:
3 * (255 minutes - 162 minutes ÷ 6 + 437 minutes)
Next, perform the division:
3 * (255 minutes - 27 minutes + 437 minutes)
Now, perform the addition and subtraction (from left to right):
3 * (228 minutes + 437 minutes)
3 * 665 minutes
Finally, multiply:
1995 minutes
Therefore, 3×(4h15min-2h42min÷6+7h17min) is equal to 1995 minutes.
