How do you simplify #\frac { 4} { 3} + \frac { 5} { 2x + 6}#?

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Answer 1 · 2017-10-13T08:19:05

#(8x+39)/(3(2x+6))#

we need to put it over a common denominator; the simplest way to achieve this is to follow the 'cross multiplication method'

#color(red)(a)/color(blue)(b)+-color(blue)(c)/color(red)d=(color(red)(ad)+-color(blue)(bc))/color(blue)(bcolor(red)(d))#

#4/3+5/(2x+6)#

#=(4(2x+6)+(3xx5))/(3(2x+6))#

now we simplify

#=(8x+24+15)/(3(2x+6)#

#(8x+39)/(3(2x+6))#

usually we leave the denominator factorised