1 2/9+5 2/3
To add the fractions 1 2/9 and 5 2/3, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
1 2/9 = (1 x 9 + 2)/9 = 11/9
5 2/3 = (5 x 3 + 2)/3 = 17/3
Step 2: Find a common denominator for the fractions.
The denominators are 9 and 3, and their least common multiple (LCM) is 9.
Step 3: Rewrite the fractions with the common denominator.
11/9 = (11/9) x (3/3) = 33/27
17/3 = (17/3) x (9/9) = 153/27
Step 4: Add the fractions together.
33/27 + 153/27 = (33 + 153)/27 = 186/27
Step 5: Simplify the fraction, if possible.
Since 186 and 27 have a common factor of 3, we can simplify the fraction.
186/27 = (186/3) / (27/3) = 62/9
Therefore, 1 2/9 + 5 2/3 = 62/9.
To add mixed numbers like 1 2/9 and 5 2/3, you can follow these steps:
Step 1: Write the mixed numbers as improper fractions.
1 2/9 can be written as (1 * 9 + 2) / 9 = 11/9
5 2/3 can be written as (5 * 3 + 2) / 3 = 17/3
Step 2: Find a common denominator for the fractions. In this case, the common denominator is 9 (which is already the denominator of 11/9) and 3. We can convert 17/3 to have a denominator of 9 by multiplying both the numerator and denominator by 3.
17/3 * 3/3 = 51/9
Now, we have 11/9 and 51/9.
Step 3: Add the fractions together.
11/9 + 51/9 = (11 + 51) / 9 = 62/9
Step 4: Simplify if necessary.
In this case, the fraction cannot be simplified further. So, the final answer is 62/9.
Therefore, 1 2/9 + 5 2/3 = 62/9.
To add two mixed numbers, we first need to convert them into improper fractions, then add the fractions and whole numbers separately.
1 2/9 can be written as (9*1 + 2)/9 = 11/9
5 2/3 can be written as (3*5 + 2)/3 = 17/3
Now, we can add the fractions:
11/9 + 17/3 = (11*3 + 17*9)/(9*3) = (33 + 153)/(27) = 186/27
Since 186 and 27 share a common factor of 3, we can simplify the fraction:
186/27 = (6*31)/(3*9) = 62/9
Therefore, 1 2/9 + 5 2/3 = 62/9.