Question

-1/2 = m -7/4
solve for m

Answer 1

`\boxed {m = (5)/(4)}`

Explanation:

Solve for the value of
`m`:

`-(1)/(2) = m - (7)/(4)`

-Switch sides:

`m - (7)/(4) = -(1)/(2)`

-Add both sides by
`(7)/(4)` and the least common multiple of both
`2` and
`4` is
`4`. So, convert
`-(1)/(2)` to a fraction with denominator
`4`:

`m - (7)/(4) + (7)/(4) = -(1)/(2) + (7)/(4)`

`m = -(2)/(4) + (7)/(4)`

-Since both
`-(2)/(4)` and
`(7)/(4)` have the same denominator, then you would add the numerators:

`m = (-2 + 7)/(4)`

`\boxed {m = (5)/(4)}`

Therefore, the value of
`m` is
`(5)/(4)`.