How do you evaluate #\frac { 3( 6) } { 9} - \frac { 3} { 12}#?

1 Answer
Nov 22, 2017

#7/4#

Explanation:

#"simplify the numerator of the fraction on the left"#

#"note that "3(6)=3xx6=18#

#rArr18/9-3/12#

#=2/1-3/12#

#"to subtract change 2 into denominator of 12"#

#(2xx12)/(1xx12)-3/12#

#=24/12-3/12#

#"subtract the numerators leaving the denominator"#

#=(24-3)/12=21/12#

#"simplify by "color(blue)"cancelling by 3"#

#21/12=cancel(21)^7/cancel(12)^4=7/4larrcolor(red)"in simplest form"#