Question

Rewrite 1/6+5/8- 2/3 using common denominators and find the answer?

Answer 1

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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