Answer:
Improper fraction: -31/30
Mixed number: -1 1/30
Explanation:
If x = -5/6 and y = -2/5, we can start by replacing x and y in the equation x + 1/2y.
x+1/2y -> -5/6+1/2(-2/5)
Now we can start solving the equation:
According to the Order of Operations, we have to start with multiplication before addition. So, let's multiply 1/2 and -2/5. We get -2/10, which simplifies to -1/5.
Now we have to do the addition: -5/6+(-1/5)
To add fractions together, we have to find a common denominator. We can do this by finding the LCM of the two denominators(Least common multiple).
6: 6, 12, 18, 24, 30, 36...
5: 5, 10, 15, 20, 25, 30, 35...
The LCM is 30.
-5/6 x 5/5 = -25/30 <-- the equivalent fraction of -5/6
-1/5 x 6/6 = -6/30 <-- the equivalent fraction of -1/5
-25/30 + (-6/30) = -31/30
The answer is -31/30 in improper fraction form, and -1 1/30 in mixed number form.