Can anybody help with this fraction word problem?

eichi_jm21

New member
During the month of May, 1/6 of the buses in District A were in the garage for routine maintenance. In addition, 1/8 of the buses were in for other repairs. If a total of 28 buses were in for maintenance and repairs, how many buses did District A have altogether?

I HAVE THE ANSWER AND SOLUTION from a book. It says you have to add 1/6 and 1/8 then divide 28 by the total of the two fractions, so the answer is 96 buses.

I just don't understand why I have to divide 28 by the sum of the two fractions. Help?
 
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