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Using appropriate properties find. (i) -...

Using appropriate properties find. (i) `- 2/5 xx 3/5 + 5/2 - 3/5 xx 1/6` (ii) `2/5 xx (-3/7) - 1/6 xx 3/2 + 1/14 xx 2/5`

Text Solution

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(i) `−2/3​×3/5​−3/5×1/6​+5/2​`
Using commutative property, it can be written as:
`=>−3/5​×2/3​−3/5​×1/6​+5/2​`
Again,using distributive property
`=>(−3/5​​)(2/3​+1/6​​)+5/2​`
`⇒(−3/5​)(5/6​)+5/2` `​=>−1/2​+5/2​`
`⇒4/2​`
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