How do you evaluate #\frac { 2} { 3} + \frac { 3} { 10} + \frac { 1} { 2} #?

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Answer 1 · 2016-12-31T13:51:12

#2/3+3/10+1/2=1 7/15#

To simplify #2/3+3/10+1/2#, we can add them if the denominators are common. Now as GCD of the denominators #3#, #10# and #2# is #30#

#2/3+3/10+1/2#

#=(2/3xx1)+(3/10xx1)+(1/2xx1)#

= #(2xx10)/(3xx10)+(3xx3)/(10xx3)+(1xx15)/(2xx15)#

= #20/30+9/30+15/30#

= #(20+9+15)/30#

= #44/30# or #(2xx22)/(2xx15)# or #22/15#

or #(15+7)/15# or #(15/15+7/15)# or #1 7/15#