How do you evaluate #12\frac { 3} { 9} - 2\frac { 5} { 8}#?

2 Answers
Apr 12, 2017

See below.

Explanation:

We can simplify the first mixed number.
#12\frac(3)(9)=12\frac(1)(3)=37/3.#

The other fraction is also
#2\frac(5)(8)=21/8#

Making a common denominator,
#37/3-21/8=(37*8)/24-(21*3)/24#

#=296/24-63/24#

#=233/24#

Apr 20, 2017

#= 9 17/24#

Explanation:

#12 3/9 - 2 5/8" "larr# use simplest form #3/9 = 1/3#

#=12 1/3 - 2 5/8" "larr# subtract whole numbers

#=10 (8-15)/24" "# convert to a common denominator

#= 9 (24+8-15)/24" "# convert #1 = 24/24# and simplify

#= 9 17/24#