Which is greater 2 1/4 or 2.1?

3 Answers
Anish M.
Mar 24, 2018

#2 1/4#

Explanation:

#2 1/4# is #2.25# which is greater than #2.1#

hev1
Mar 24, 2018

#2 1/4# is greater than #2.1#.

Explanation:

#2 1/4 = 2+1/4#
#1/4 = 0.25#
#2 + 0.25 = 2.25#
#2.25>2.1#

Tony B
Mar 31, 2018

#2.1color(white)("d") < color(white)("d")2 1/4 #

Explanation:

As both numbers 'contain' 2 you can for now forget about the 2's and just concentrate on number parts that are less than 1.

So we are comparing #1/4 and 0.1#

The first decimal place is counting in #10^("ths")# so we are comparing:

#1/4 and 1/10#

The larger the bottom number the 'smaller' is the things that we are counting (top numbers)

As 10 is greater than 4 and the top numbers are the same then #1/10# is 'smaller' than #1/4#

Thus #1/10 <1/4#

So it follows that

#color(white)("dd")ubrace(2 1/10)color(white)("d") < color(white)("d")2 1/4#
#color(white)("d...")darr#
#"Same value"#
#color(white)("d,,,,")uarr#
#color(white)("d,,") obrace(color(white)(.)2.1color(white)(.))color(white)("d") < color(white)("d")2 1/4 #

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