9514 1404 393
Answer:
1/8
Step-by-step explanation:
The least common multiple of 6, 8, and 3 is 24. That will be the common denominator:
1/6 +5/8 -2/3
= 4/24 +15/24 -16/24
= (4 +15 -16)/24 = 3/24
= 1/8
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Alternate solution
You can take advantage of the commutative property of addition and the distributive property to rewrite the problem as ...
5/8 -(2/3 -1/6)
= 5/8 - (4/6 -1/6) . . . . use a common denominator of 6
= 5/8 -3/6
= 5/8 =1/2 . . . . . . . simplify
= 5/8 -4/8 . . . . . . use a common denominator of 8
= 1/8
