Rinda needs to solve the problem 1 2/9+5 2/3 . What is the sum?(1 point)

1 answer

To solve the addition problem 1 2/9 + 5 2/3, first convert the mixed numbers to improper fractions:

1 2/9 = (9*1 + 2)/9 = 11/9
5 2/3 = (3*5 + 2)/3 = 17/3

Next, find a common denominator for the two fractions, which in this case is 9*3 = 27:

11/9 * 3/3 = 33/27
17/3 * 9/9 = 153/27

Now, add the two fractions:

33/27 + 153/27 = (33 + 153)/27 = 186/27

Since 186/27 is an improper fraction, it can be simplified:

186/27 = (6*31)/(9*3) = 62/9

Therefore, the sum of 1 2/9 + 5 2/3 is 62/9.