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

1 answer

To solve the problem 1 2/9 + 5 2/3, you first need to convert the given mixed numbers into improper fractions.

1 2/9 can be converted to (9 * 1 + 2)/9 = 11/9.

Similarly, 5 2/3 can be converted to (3 * 5 + 2)/3 = 17/3.

Now, you can add the fractions: 11/9 + 17/3.

To add fractions, you need a common denominator. In this case, the least common multiple of 9 and 3 is 9.

To make the denominators equal, you can multiply the first fraction by 3/3 and the second fraction by 9/9.

(11/9)*(3/3) + (17/3)*(9/9) = 33/27 + 153/27 = 186/27.

Since 186 and 27 have a common factor of 3, you can simplify the fraction by dividing both the numerator and denominator by 3.

186/27 = (186/3)/(27/3) = 62/9.

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