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