How to convert number of minutes to hh:mm format in TSQL?

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You can convert the duration to a date and then format it:

DECLARE
    @FirstDate datetime,
    @LastDate datetime

SELECT
    @FirstDate="2000-01-01 09:00:00",
    @LastDate="2000-01-01 11:30:00"

SELECT CONVERT(varchar(12), 
       DATEADD(minute, DATEDIFF(minute, @FirstDate, @LastDate), 0), 114) 

/* Results: 02:30:00:000 */

For less precision, modify the size of the varchar: 

SELECT CONVERT(varchar(5), 
       DATEADD(minute, DATEDIFF(minute, @FirstDate, @LastDate), 0), 114) 

/* Results: 02:30 */

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