At first, to convert 406 minutes to hours and minutes, we have to convert 406 minutes into hours.
To change 406 minutes into its equivalent number of hours and leftover minutes, we first need to calculate the total hours component of the 406 minutes by performing division by the constant 60 minutes per hour.
406 minutes / 60 minutes
⇒ 406 minutes x 1/60 hours = 6.7666666666667 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 0.7666666666667 and convert it into minutes. In this case we need to convert 0.7666666666667 hours in minutes to calculate the remaining minutes. For this we need to muitiply 0.7666666666667 hours by 60 minutes.
0.7666666666667 hours X 60 minutes = 46 minutes
Hence, combining the values of hours and minutes calculated above, we can conclude that
406 minutes = 6 hours and 46 minutes
Therefore the final result for the query 406 minutes in hours and minutes is equivalent to 6 hours and 46 minutes.