-3 5/9 plus -4 1/9

1 answer

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.