To add -3 5/9 and -4 1/9, we first need to find a common denominator for the fractions. The common denominator is 9.
-3 5/9 can be rewritten as -3 45/9
-4 1/9 can be rewritten as -4 9/9
Now, we can add the whole numbers separately from the fractions:
-3 + -4 = -7
For the fractions, we add the numerators and keep the common denominator:
45/9 + 9/9 = 54/9
Combining the whole numbers and fractions, we have:
-7 + 54/9
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 9 in this case:
54 ÷ 9 = 6
9 ÷ 9 = 1
Therefore, -7 + 54/9 simplifies to:
-7 + 6/1
Now, we can add the whole number and the fraction:
-7 + 6/1 = -7 + 6 = -1
Therefore, -3 5/9 plus -4 1/9 equals -1.
-3 5/9 plus -4 1/9
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