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Question
Using appropriate properties find.
`-2/3 xx 3/5 + 5/2 - 3/2 xx 1/6`
Solution
`(-2)/3 xx 3/5 + 5/2 - 3/5 xx 1/6`
`= (-2)/3 xx 3/5 - 3/5 xx 1/6 + 5/2` .....(by commutativity)
`= (-3)/5(2/3 + 1/6) + 5/2` .....(by distributivity)
`= (-3)/5 ((4 + 1)/6) + 5/2`
`= (-3)/5 xx 5/6 + 5/2`
`= (-15)/30 + 5/2`
`= (-1)/2 + 5/2`
`= 4/2`
= 2 .
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