How do you simplify #\frac { \frac { 5} { 6} - 2( - 1\frac { 3} { 4} ) } { 5\frac { 1} { 5} }#?

1 Answer
May 20, 2017

#(5/6-2(-1 3/4))/(5 1/5)=5/6#

Explanation:

#(5/6-2(-1 3/4))/(5 1/5)#

= #(5/6-2(-7/4))/(26/5)#

= #(5/6+2×7/4)/(26/5)#

= #(5/6+7/2)/(26/5)#

= #(5/6+(7×3)/(2×3))/(26/5)#

= #(5/6+21/6)/(26/5)#

= #(26/6)/(26/5)#

= #26/6×5/26#

= #5/6#