How do you evaluate #x- \frac { 4} { 5} = 3\frac { 3} { 4}#?

1 Answer
Nov 23, 2017

# x = 4 11/20#

Explanation:

#x- \frac { 4} { 5} = 3\frac { 3} { 4}#

#= > x- \frac { 4} { 5} = (3xx4 +3) / 4 #--- mixed fraction into improper form.

#= > x- \frac { 4} { 5} = (15) / 4 #

#= > x= (15) / 4 + \frac { 4} { 5} # ------ transposition.

Make denominators equal:

#= > x= (15) / 4 (5/5)+\frac { 4} { 5} (4/4) #

#= > x= (75) / 20 +\frac { 16} { 20} #

# => x = (75+16)/ 20#

#=> x= 91/20#

#=> x = 4 11/20#