How do you evaluate #-\frac { 1} { 2} + \frac { 2} { 3} + \frac { 3} { 5}#?

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Answer 1 · 2018-06-04T11:24:11

#23/30 or 0.76#

As per the question, we have

#-1/2+2/3+3/5#

#= -1/2+((2xx5+3xx3)/(3xx5))# ... [ Taking the LCM ]

#=-1/2+((10+9)/15)#

#=-1/2 + 19/15#

#=19/15-1/2# ... [Rearranging the terms]

#=((19xx2-1xx15)/(15xx2))#

#=((38-15)/30)#

#=23/30#

#= 0.76#

Hence, the answer.