Rinds needs to solve the problem 1 2/9+5 2/3

1 answer

To solve the problem 1 2/9 + 5 2/3, we need to add the two fractions together.

First, let's 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

Now, we have 11/9 + 17/3.

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 9 and 3 is 9.

Next, we need to find equivalent fractions with a denominator of 9:

11/9 * (3/3) = 33/27
17/3 * (3/3) = 51/27

Now we can add the fractions together:

33/27 + 51/27 = 84/27

Finally, we can simplify the fraction to its simplest form. The greatest common divisor (GCD) of 84 and 27 is 3, so we can divide both the numerator and denominator by 3:

84/3 = 28
27/3 = 9

Therefore, the solution to the problem is 28/9.