What is the sum of #2 1/3, 3 5/6,# and #6 2/3#?

2 Answers
Jan 30, 2018

#2 1/3 +3 5/6 +6 2/3#

#7/3 +23/6 +20/3#

#14/6 +23/6 +40/6# (taking common denominator)

#(14+23+40)/6#

#77/6#

#12 5/6#

Jan 30, 2018

See a solution process below:

Explanation:

First, the sum means to add. So, we can write the expression as:

#2 1/3 + 3 5/6 + 6 2/3#

We can rewrite this as:

#2 + 1/3 + 3 + 5/6 + 6 + 2/3 =>#

#2 + 3 + 6 + 1/3 + 5/6 + 2/3 =>#

#11 + 1/3 + 5/6 + 2/3#

We need each of the fractions over a common denominator:

#11 + (2/2 xx 1/3) + 5/6 + (2/2 xx 2/3) =>#

#11 + 2/6 + 5/6 + 4/6 =>#

#11 + (2 + 5 + 4)/6 =>#

#11 + 11/6 =>#

#11 + (6 + 5)/6 =>#

#11 + 6/6 + 5/6 =>#

#11 + 1 + 5/6 =>#

#12 + 5/6 =>#

#12 5/6#