How do you evaluate #\frac { 5} { 6} + \frac { 7} { 18} + \frac { 7} { 9}#?

1 Answer
Jim G.
Sep 2, 2017

#2#

Explanation:

#"before we can add the fractions we require them to"#
#"have a "color(blue)"common denominator"#

#"the "color(blue)"lowest common multiple"# of 6, 18 and 9 is 18

#"we require all 3 fractions to have a denominator of 18"#

#"multiplying the numerator/denominator by a suitable "#
#"value means we can achieve this"#

#rArr5/6xx3/3=15/18larr" denominator of 18"#

#7/9xx2/2=14/18larr" denominator of 18"#

#"we now have all 3 fractions with a common denominator"#
#"and can add their numerators leaving the denominator"#

#rArr15/18+7/18+14/18#

#=(15+7+14)/18#

#=36/18larr" that is "36-:18#

#=2#

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