How do you convert 2 3/4 into a percent and decimal?

1 Answer
May 10, 2016

As a decimal #2/75#
As a percentage #275#

Explanation:

#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)#