To simplify the expression -3 5/9 plus 2 - 4 1/9, we can first convert the mixed numbers to improper fractions.
-3 5/9 can be written as -32/9 and 2 - 4 1/9 can be written as 2 - 37/9.
Now we can simplify the expression by adding the fractions:
-32/9 + 2 - 37/9
Combining the whole numbers:
-32/9 - 37/9 = -69/9
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-69/9 ÷ 3/3 = -23/3.
So, -3 5/9 plus 2 - 4 1/9 simplifies to -23/3.
-3 5/9 plus 2 - 4 1/9 simplify
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