1/3(5/6 - 3/4 + 2/3)

Order of Operation - Solve the fractions within the parentheses first.

1. You cannot add or subtract the fraction because the denominators are different, therefore find the Least Common Multiple (LCM).

Common multiples for 6 are: 6,

**12**, 18...Common multiples for 4 are: 4, 8,

**12**, 16...Common multiples for 3 are: 3, 6, 9,

**12**,15...The LCM is

**12**as shown above.2.For 5/6 divide

**12**by 6 to get 2, then multiply 2 by 5 to get**10**= 10/12 For -3/4 divide

**12**by 4 to get 3, then multiply 3 by 3 to get**9**= -9/12 For 2/3 divide

**12**by 3 to get 4, then multiply 4 by 2 to get**8**= 8/123. Now subtract the fractions to get 9/12. Reduce by dividing both 9 and 12 by 3 the LCF.

9 divided by 3 = 3

12 divided by 3 = 4

The reduced fraction is 3/4.

4. Now multiply 1/3 by 3/4 =

**1/4 Answer.****Thanks Carl**