Question

Perform the indicated operation.
-5/4 + -7/9

Answer 1

Simplify the following:

-5/4 - 7/9

Put -5/4 - 7/9 over the common denominator 36. -5/4 - 7/9 = (9 (-5))/36 + (4 (-7))/36:

(9 (-5))/36 + (4 (-7))/36

9 (-5) = -45:

(-45)/36 + (4 (-7))/36

4 (-7) = -28:

(-45)/36 + (-28)/36

-45/36 - 28/36 = (-45 - 28)/36:

(-45 - 28)/36

-45 - 28 = -(45 + 28):

(-(45 + 28))/36

| 1 |

| 4 | 5

+ | 2 | 8

| 7 | 3:

Answer: (-73)/36

Answer 2

`-2(1)/(36)`

Explanation:

`-(5)/(4) + (-7)/(9)`

We need to perform the indicated operation

positive times negative is negative

`-(5)/(4) + (-7)/(9)`

`-(5)/(4) -(7)/(9)`

To add or subtract fraction we need to make the denominator same

LCD is 4 times 9 is 36

`-(5 \cdot 9)/(4 \cdot 9) -(7 \cdot 4)/(9 \cdot 4)`

`-(45)/(36) -(28)/(36)`

`-(73)/(36)`

`-2(1)/(36)`