9/5 + -5/2
To add the fractions 9/5 and -5/2, we need to find a common denominator. The least common multiple of 5 and 2 is 10. So, we need to rewrite the fractions with a denominator of 10.
9/5 = (9/5) * (2/2) = 18/10
-5/2 = (-5/2) * (5/5) = -25/10
Now, we can add the fractions:
18/10 + (-25/10) = 18 - 25 / 10 = -7/10
Therefore, 9/5 + -5/2 = -7/10.
To add fractions, we need to have a common denominator. In this case, the least common denominator (LCD) between 5 and 2 is 10. Here are the steps to add these fractions:
Step 1: Convert both fractions so that they have the LCD as the denominator.
9/5 = (9*2)/(5*2) = 18/10
-5/2 = (-5*5)/(2*5) = -25/10
Now, we have:
18/10 + (-25/10)
Step 2: Add the numerators of the fractions while keeping the common denominator.
18/10 + (-25/10) = (18 + (-25))/10 = -7/10
The result of the addition is -7/10.