#color(blue)("Determine "2 3/4" as a percentage")#
In percentages all of something is #100% ->100/100#
So #2 3/4# is the same as #100/100+100/100+3/4#
#color(brown)("................... Consider the following .......................")#
#color(brown)("To be able to add these directly we need "3/4 -> ?/100)#
#color(brown)("Multiply by 1 but in the form of "1=25/25)#
#color(brown)(3/4xx25/25" "=" "(3xx25)/(4xx25)" "=" "75/100)#
#color(brown)("............................................................................")#
#100/100+100/100+3/4" "->" "100/100+100/100+75/100#
#color(blue)(=275/100" which can also be written as "275%)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Determine "2 3/4" as a percentage")#
It is worth memorising that #3/4# as a decimal is #0.75#
So #color(blue)(2+3/4 = 2+0.75 = 2.75)#