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-3 5/9 + 2 - 4 1/9
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To solve this problem, we need to convert the mixed numbers to improper fractions and then perform the addition.
-3 5/9 can also be written as -32/9.
4 1/9 can be written as 37/9.
Now, we can add the fractions:
-32/9 + 37/9 = (37 - 32)/9 = 5/9.
Finally, we can add the whole numbers:
2 + 5/9 = 18/9 + 5/9 = 23/9.
Therefore, -3 5/9 + 2 - 4 1/9 = 23/9 or 2 5/9.
To add mixed numbers, you can follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
-3 5/9 can be written as -32/9
2 can be written as 18/9
-4 1/9 can be written as -37/9
Step 2: Add the fractions together.
-32/9 + 18/9 - 37/9 = (-32 + 18 - 37)/9 = -51/9
Step 3: Simplify the fraction if possible.
-51/9 can be simplified to -17/3.