How do you combine like terms in #\frac { 1} { 9} r - \frac { 1} { 6} r + \frac { 10} { 9} + 2#?

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Answer 1 · 2017-06-10T16:13:39

#=color(red)(-1/18r) +color(blue)(3 1/9)#

Or

#(-r +56)/18#

There are 2 terms with variables and 2 constant terms.

To add fractions you need a common denominator.

#color(red)(1/9r -1/6r) +color(blue)(10/9+2#

#=color(red)((2r-3r)/18) +color(blue)(1 1/9+2#

#=color(red)(-1/18r) +color(blue)(3 1/9)#

You can leave the answer like this because the like terms have been added, or you can combine them into one fraction:

#=color(red)(-1/18r) +color(blue)(28/9)#

#=(-r +56)/18#