whats the sum of 1 2/9 + 5 2/3

1 answer

To find the sum of 1 2/9 and 5 2/3, we need to convert them to improper fractions and then add them.

1 2/9 can be written as (9/9 * 1) + 2/9 = 9/9 + 2/9 = 11/9.

5 2/3 can be written as (3/3 * 5) + 2/3 = 15/3 + 2/3 = 17/3.

Now we can add the two fractions: 11/9 + 17/3.

To add these fractions, we need to find a common denominator, which is 9 multiplied by 3 (since 9 is divisible by 3 and 3 is divisible by 3). The common denominator is 27.

11/9 can be written as (3/3 * 11) / 9 = 33/27.

17/3 can be written as (9/9 * 17) / 3 = 153/27.

Now we can add the fractions: 33/27 + 153/27.

Since the fractions have the same denominator, we can simply add the numerators and keep the denominator the same: (33 + 153) / 27 = 186/27.

The fraction 186/27 can be simplified by finding the greatest common divisor (GCD) of 186 and 27, which is 3. Dividing both the numerator and the denominator by 3 gives: (186/3) / (27/3) = 62/9.

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