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Question
Simplify:
`5/6-3/5(1/3+2/11)`
Solution 1
`5/6-3/5(1/3+2/11)=5/6-3/5((11+6)/33)`
= `5/6-3/5xx17/33=5/6-17/55`
= `(275-102)/330=173/330`
Solution 2
Simplify the innermost brackets:
`1/3 + 2/11 = 11/33+6/33 = 17/33`
Multiply by `3/5`
`3/5xx17/33 = 51/165 = 17/55`
Subtract from `5/6: "Rewrite" 5/6 and 17/55` with a common denominator:
LCD of 6 and 55 is 330.
`5/6 = 275/33, 17/55 = 102/330`
Perform the subtraction:
`275/330 - 102/330 = 173/330`
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