How do you evaluate #3\frac { 3} { 5} + ( - 1\frac { 3} { 4} )#?

2 Answers
Sep 29, 2017

# 1\frac{17}{20}#

Explanation:

#3\frac { 3} { 5} + ( - 1\frac { 3} { 4} )#

=#\frac {3\times5+3} { 5} - ( \frac {1\times 4+3} { 4} )#

=#18/5 -7/4 #

Make the denominators equal:

=#18/5(4/4) -7/4(5/5) #

=# 72/20- 35/20#

=#37/20#

=# 1\frac{17}{20}#

Sep 29, 2017

#1 17/20#

Explanation:

#3 3/5 -1 3/4#

#= 2 (?-?)/20" "larr# subtract the whole numbers, find the LCD

#=2 (3xx4 -3xx5)/20" "larr# make equivalent fractions

#=2 (12-15)/20#

#=cancel2 1 (color(blue)(20)+12-15)/20" "larr (color(blue)(2 =1 +20/20))#

#=1 17/20#