Question #57cbb

1 Answer
Sep 16, 2017

v-10 2/5

Explanation:

The equation is v+9/15+ -11. First, we simplify the 9/15 to 3/5.
The equation now would be v+3/5+ -11. We can convert -11 to -11/1 as working on fractions here would be easier.

The equation now would be v+3/5+ -11/1. Let's work on the fractions and leave the v aside for now. We will make the denominators of both fractions -11/1 and 3/5. The lowest common multiple of 1 and 5 is 5, so we will make the denominators 5.

-11/1 will be turned into -(11*5)/5 and 3/5 will remain.
So the equation (without the v still) would be -(11*5)/5+3/5.
Since the denominators are the same, we can combine the
fractions like this:
x/z+y/z=(x+y)/z
We will combine the fractions now:
(11*-5+3)/5 Your new equation. <--
Let's solve the top.

11*-5+3
Multiply the numbers -5*11=-55
-55+3
Add the numbers: -55+3=-52
So the equation (still without the v) would be (-52)/5

You have to apply this: (-x)/y=-x/y See where the negative sign will be?
So, in this case, (-52)/5=-52/5.
The whole equation would be v=-52/5 or v=-10 2/5 if you change it to a mixed number.