How do you express # 7 3/5 + -4.8#, as a simplified fraction?

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Answer 1 · 2016-05-13T18:45:35

#2 4/5" another way of writing this is "14/5#

Every step in the calculation is shown.

#color(brown)("Assumption: 4.8 is a decimal value")#

#color(blue)("Consider "4.8)#

This is the same #4+8/10#

Multiply 4 by 1 but in the form of #1=10/10#

#(4xx10/10)+8/10#

#=40/10+8/10 = 48/10#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("Consider "7 3/5)#

Multiply 7 by 1 in the form of #1=5/5#

#(7xx5/5)+3/5#

#35/5+3/5=38/5#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Putting them together")#

#38/5-48/10" "color(red)("Correction "->+48/10" to "-48/10)#

Multiply #38/5# by 1 in the form of #1=2/2#

#(38/5xx2/2)-48/10#

#76/10-48/10" "=" " 28/10#

#28-:10" "=" "2 +" remainder of "8#

So # 28/10=2 4/5#