Question

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

Answer 1

Answer:

$\boxed {m = \frac{5}{4}}$

Step-by-step explanation:

Solve for the value of $m$:

$-\frac{1}{2} = m - \frac{7}{4}$

-Switch sides:

$m - \frac{7}{4} = -\frac{1}{2}$

-Add both sides by $\frac{7}{4}$ and the least common multiple of both $2$ and $4$ is $4$. So, convert $-\frac{1}{2}$ to a fraction with denominator $4$:

$m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}$

$m = -\frac{2}{4} + \frac{7}{4}$

-Since both $-\frac{2}{4}$ and $\frac{7}{4}$ have the same denominator, then you would add the numerators:

$m = \frac{-2 + 7}{4}$

$\boxed {m = \frac{5}{4}}$

Therefore, the value of $m$ is $\frac{5}{4}$.