Simplify the following:
6/12+6/24+1/4
The gcd of 6 and 12 is 6, so 6/12 = (6×1)/(6×2) = 6/6×1/2 = 1/2:
1/2+6/24+1/4
The gcd of 6 and 24 is 6, so 6/24 = (6×1)/(6×4) = 6/6×1/4 = 1/4:
1/2+1/4+1/4
Put 1/2+1/4+1/4 over the common denominator 4. 1/2+1/4+1/4 = 2/4+1/4+1/4:
2/4+1/4+1/4
2/4+1/4+1/4 = (2+1+1)/4:
(2+1+1)/4
2+1+1 = 4:
4/4
4/4 = 1:
Answer: | =1
