Answer:
6.75 hour is approximated to 7 hours
Step-by-step explanation:
Given
Time = 6.75 hours
Required
Round to the nearest hour
The time given is given in base 10 and the conversion can be done in two ways.
1. Convert directly by approximation.
Approximating 6.75 to the nearest whole number gives 7.
Hence, 6.75 hours = 7 hours
2. Convert to time equivalent then approximate time
This is done as follows
[tex]6.75 hours = 6 hours + 0.75 hour[/tex]
Convert decimal to fraction
[tex]6.75 hours = 6 hours + \frac{75}{100} hour[/tex]
Simplify to lowest term
[tex]6.75 hours = 6 hours + \frac{3}{4} hour[/tex]
Convert hour to minute
There are 60 minutes in an hour
[tex]6.75 hours = 6 hours + \frac{3}{4} * 60 minutes[/tex]
[tex]6.75 hours = 6 hours + 3 * 15 minutes[/tex]
[tex]6.75 hours = 6 hours + 45 minutes[/tex]
The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1
Going by the rule, 45 minutes will be approximated to 1 hour.
This gives
[tex]6.75 hours \frac{=}{} 6 hours + 1 hour[/tex]
[tex]6.75 hour \frac{=}{} 7 hours[/tex]
Hence, 6.75 hour is approximated to 7 hours
