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:
[tex]-2\frac{1}{36}[/tex]
Step-by-step explanation:
[tex]-\frac{5}{4} + \frac{-7}{9}[/tex]
We need to perform the indicated operation
positive times negative is negative
[tex]-\frac{5}{4} + \frac{-7}{9}[/tex]
[tex]-\frac{5}{4} -\frac{7}{9}[/tex]
To add or subtract fraction we need to make the denominator same
LCD is 4 times 9 is 36
[tex]-\frac{5 \cdot 9}{4 \cdot 9} -\frac{7 \cdot 4}{9 \cdot 4}[/tex]
[tex]-\frac{45}{36} -\frac{28}{36}[/tex]
[tex]-\frac{73}{36}[/tex]
[tex]-2\frac{1}{36}[/tex]
