Question

How do you solve `f-(-7/10)=-4/5`?

Answer 1

`f = -3/2`

Explanation:

`f-(-7/10) = -4/5`

First, we know that two negative signs cancel each other and become a positive, so it becomes:
`f + 7/10 = -4/5`

Since we need to find the variable `f`, we need to make it alone.

Subtract `color(blue)(7/10)` from both sides of the equation:
`f + 7/10 quadcolor(blue)(-quad7/10) = -4/5 quadcolor(blue)(-quad7/10)`

`f = -4/5 - 7/10`

To simplify the right side, we need to make both fractions have the same denominator. To do so, let's multiply `-4/5` by `color(blue)(2/2)`:
`f = (-4/5 quadcolor(blue)(*quad2/2)) - 7/10`

`f = -8/10 - 7/10`

Combine denominators:
`f = (-8-7)/10`

`f = -15/10`

Divide numerator and denominator by `color(blue)5`:
`f = -15/10 quadcolor(blue)(-:quad5/5)`

`f = -3/2`

Hope this helps!