At first, to convert 409 minutes to hours and minutes, we have to convert 409 minutes into hours.
To change 409 minutes into its equivalent number of hours and leftover minutes, we first need to calculate the total hours component of the 409 minutes by performing division by the constant 60 minutes per hour.
409 minutes / 60 minutes
⇒ 409 minutes x 1/60 hours = 6.8166666666667 hours [as 1 minute = 1/60 hours]
Now from the above number we come to know that the whole number part which is in the left side of the decimal point is the number of hours which is 6.
Therefore the number of hours = 6
Now we have to find out the remaining minutes. To acheive this we can simply take the decimal part 0.8166666666667 and convert it into minutes. In this case we need to convert 0.8166666666667 hours in minutes to calculate the remaining minutes. For this we need to muitiply 0.8166666666667 hours by 60 minutes.
0.8166666666667 hours X 60 minutes = 49 minutes
Hence, combining the values of hours and minutes calculated above, we can conclude that
409 minutes = 6 hours and 49 minutes
Therefore the final result for the query 409 minutes in hours and minutes is equivalent to 6 hours and 49 minutes.