-3 5/9 plus 2 - 4 1/9 simplify
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.
To simplify the expression -3 5/9 plus 2 - 4 1/9, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-3 5/9 = -32/9
2 = 2/1
-4 1/9 = -37/9
Step 2: Add or subtract the fractions by finding a common denominator.
In this case, the common denominator is 9.
-32/9 + 18/9 - 37/9
Step 3: Combine the numerators while keeping the common denominator.
(-32 + 18 - 37)/9
Step 4: Simplify the numerator.
(-32 + 18 - 37) = -51
Step 5: Write the simplified fraction.
-51/9
Step 6: Simplify the fraction further if possible.
Both -51 and 9 can be divided by 3, so divide both numerator and denominator by 3.
-17/3
Final Answer: -17/3