I have got to add 2 2/9 + 6 1/3+ 8 2/27 how do i do this?

I have got to add 2 2/9 + 6 1/3+ 8 2/27 how do i do this?

Tutors, please sign in to answer this question.

Robert's method and answer are correct, but one can go a step further to explain to a young learner to satisfy his coriousity. First determine the LCM of 3,9,27 by factoring. 3 = 3x1 9 = 3x3x1 27 = 3x3x3x1 LCM =3x3x3x1 In solving the given problem, 2 2/9 + 6 1/3 +8 2/27 collect the whole number, and fractional parts into separate brackets to obtain( 2+6+8)+(2/9+ 1/3 + 2/27)= 16 + (2/9 + 1/3 + 2/27 ) = 16 + 1/27(3.2 +9.1 + 1.2 ) = 16 + 1/27(6+9+2)=16 17/27

Since 27 is a multiple of both 3 and 9, then 27 is the least common denominator.

2 2/9 + 6 1/3 + 8 2/27

In order for all the fractions to have a common denominator of 27, multiply the fraction in the first term by 3/3 and the fraction in the second term by 9/9 and leave the last fraction as is. That is,

(2/9)*(3/3) = (2*3)/(9*3) = 6/27

(1/3)*(9/9) = (1*9)/(3*9) = 9/27

Replace the fraction in the first term by 6/27 and the fraction in the second term by 9/27:

2 6/27 + 6 9/27 + 8 2/27

Add the whole numbers separately from the fractions. That is,

(2 + 6 + 8) + (6/27 + 9/27 + 2/27) = (16) + ((6+9+2)/27)

= (16) + (17/27)

= 16 17/27

The least common denominator is the least common multiple of 3, 9, 27, which is 27.

2 2/9 + 6 1/3+ 8 2/27

= (2+6+8) + (2/9 + 1/3 + 2/27), collect integer parts and fractional parts, respectively.

= 16 + (1/27)(6+9+2)

= 16 17/27

Avi N.

Math Made Easy & Computer Skills Too

Tenafly, NJ

5.0
(168 ratings)

Randy K.

Passionate Mathematics and Physics Tutor

New York, NY

5.0
(82 ratings)

Fiona Z.

Dedicated, knowledgeable Tutor in Math, Sciences, and Chinese

Harrison, NJ

4.9
(67 ratings)