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Question
Find: `(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`.
Sum
Solution 1
`(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`
`= (- (4 xx 3)/(5 xx 7)) xx ((15 xx (-14))/(16 xx 9))`
`= (-12)/35 xx ((-35)/24)`
`= (-12 xx (-35))/(35 xx 24)`
`= 1/2`.
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Solution 2
`(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`
`= ((-4)/5 xx 15/16) xx [3/7 xx ((-14)/9)]` .....(Using commutativity and associativity)
`= (-3)/4 xx ((-2)/3)`
`= 1/2`.
shaalaa.com
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